diff --git a/library/common/src/main/java/com/google/android/exoplayer2/MediaItem.java b/library/common/src/main/java/com/google/android/exoplayer2/MediaItem.java
index 53d81e9158..b1a09fb72f 100644
--- a/library/common/src/main/java/com/google/android/exoplayer2/MediaItem.java
+++ b/library/common/src/main/java/com/google/android/exoplayer2/MediaItem.java
@@ -77,6 +77,8 @@ public final class MediaItem {
     @Nullable private Object tag;
     @Nullable private MediaMetadata mediaMetadata;
     private long liveTargetOffsetMs;
+    private long liveMinOffsetMs;
+    private long liveMaxOffsetMs;
     private float liveMinPlaybackSpeed;
     private float liveMaxPlaybackSpeed;
 
@@ -88,6 +90,8 @@ public final class MediaItem {
       streamKeys = Collections.emptyList();
       subtitles = Collections.emptyList();
       liveTargetOffsetMs = C.TIME_UNSET;
+      liveMinOffsetMs = C.TIME_UNSET;
+      liveMaxOffsetMs = C.TIME_UNSET;
       liveMinPlaybackSpeed = C.RATE_UNSET;
       liveMaxPlaybackSpeed = C.RATE_UNSET;
     }
@@ -102,6 +106,8 @@ public final class MediaItem {
       mediaId = mediaItem.mediaId;
       mediaMetadata = mediaItem.mediaMetadata;
       liveTargetOffsetMs = mediaItem.liveConfiguration.targetLiveOffsetMs;
+      liveMinOffsetMs = mediaItem.liveConfiguration.minLiveOffsetMs;
+      liveMaxOffsetMs = mediaItem.liveConfiguration.maxLiveOffsetMs;
       liveMinPlaybackSpeed = mediaItem.liveConfiguration.minPlaybackSpeed;
       liveMaxPlaybackSpeed = mediaItem.liveConfiguration.maxPlaybackSpeed;
       @Nullable PlaybackProperties playbackProperties = mediaItem.playbackProperties;
@@ -436,6 +442,32 @@ public final class MediaItem {
       return this;
     }
 
+    /**
+     * Sets the optional minimum offset from the live edge for live streams, in milliseconds.
+     *
+     * <p>See {@code Player#getCurrentLiveOffset()}.
+     *
+     * @param liveMinOffsetMs The minimum allowed live offset, in milliseconds, or {@link
+     *     C#TIME_UNSET} to use the media-defined default.
+     */
+    public Builder setLiveMinOffsetMs(long liveMinOffsetMs) {
+      this.liveMinOffsetMs = liveMinOffsetMs;
+      return this;
+    }
+
+    /**
+     * Sets the optional maximum offset from the live edge for live streams, in milliseconds.
+     *
+     * <p>See {@code Player#getCurrentLiveOffset()}.
+     *
+     * @param liveMaxOffsetMs The maximum allowed live offset, in milliseconds, or {@link
+     *     C#TIME_UNSET} to use the media-defined default.
+     */
+    public Builder setLiveMaxOffsetMs(long liveMaxOffsetMs) {
+      this.liveMaxOffsetMs = liveMaxOffsetMs;
+      return this;
+    }
+
     /**
      * Sets the optional minimum playback speed for live stream speed adjustment.
      *
@@ -519,7 +551,12 @@ public final class MediaItem {
               clipRelativeToDefaultPosition,
               clipStartsAtKeyFrame),
           playbackProperties,
-          new LiveConfiguration(liveTargetOffsetMs, liveMinPlaybackSpeed, liveMaxPlaybackSpeed),
+          new LiveConfiguration(
+              liveTargetOffsetMs,
+              liveMinOffsetMs,
+              liveMaxOffsetMs,
+              liveMinPlaybackSpeed,
+              liveMaxPlaybackSpeed),
           mediaMetadata != null ? mediaMetadata : new MediaMetadata.Builder().build());
     }
   }
@@ -712,7 +749,7 @@ public final class MediaItem {
 
     /** A live playback configuration with unset values. */
     public static final LiveConfiguration UNSET =
-        new LiveConfiguration(C.TIME_UNSET, C.RATE_UNSET, C.RATE_UNSET);
+        new LiveConfiguration(C.TIME_UNSET, C.TIME_UNSET, C.TIME_UNSET, C.RATE_UNSET, C.RATE_UNSET);
 
     /**
      * Target live offset, in milliseconds, or {@link C#TIME_UNSET} to use the media-defined
@@ -720,6 +757,18 @@ public final class MediaItem {
      */
     public final long targetLiveOffsetMs;
 
+    /**
+     * The minimum allowed live offset, in milliseconds, or {@link C#TIME_UNSET} to use the
+     * media-defined default.
+     */
+    public final long minLiveOffsetMs;
+
+    /**
+     * The maximum allowed live offset, in milliseconds, or {@link C#TIME_UNSET} to use the
+     * media-defined default.
+     */
+    public final long maxLiveOffsetMs;
+
     /** Minimum playback speed, or {@link C#RATE_UNSET} to use the media-defined default. */
     public final float minPlaybackSpeed;
 
@@ -731,14 +780,24 @@ public final class MediaItem {
      *
      * @param targetLiveOffsetMs Target live offset, in milliseconds, or {@link C#TIME_UNSET} to use
      *     the media-defined default.
+     * @param minLiveOffsetMs The minimum allowed live offset, in milliseconds, or {@link
+     *     C#TIME_UNSET} to use the media-defined default.
+     * @param maxLiveOffsetMs The maximum allowed live offset, in milliseconds, or {@link
+     *     C#TIME_UNSET} to use the media-defined default.
      * @param minPlaybackSpeed Minimum playback speed, or {@link C#RATE_UNSET} to use the
      *     media-defined default.
      * @param maxPlaybackSpeed Maximum playback speed, or {@link C#RATE_UNSET} to use the
      *     media-defined default.
      */
     public LiveConfiguration(
-        long targetLiveOffsetMs, float minPlaybackSpeed, float maxPlaybackSpeed) {
+        long targetLiveOffsetMs,
+        long minLiveOffsetMs,
+        long maxLiveOffsetMs,
+        float minPlaybackSpeed,
+        float maxPlaybackSpeed) {
       this.targetLiveOffsetMs = targetLiveOffsetMs;
+      this.minLiveOffsetMs = minLiveOffsetMs;
+      this.maxLiveOffsetMs = maxLiveOffsetMs;
       this.minPlaybackSpeed = minPlaybackSpeed;
       this.maxPlaybackSpeed = maxPlaybackSpeed;
     }
@@ -754,6 +813,8 @@ public final class MediaItem {
       LiveConfiguration other = (LiveConfiguration) obj;
 
       return targetLiveOffsetMs == other.targetLiveOffsetMs
+          && minLiveOffsetMs == other.minLiveOffsetMs
+          && maxLiveOffsetMs == other.maxLiveOffsetMs
           && minPlaybackSpeed == other.minPlaybackSpeed
           && maxPlaybackSpeed == other.maxPlaybackSpeed;
     }
@@ -761,6 +822,8 @@ public final class MediaItem {
     @Override
     public int hashCode() {
       int result = (int) (targetLiveOffsetMs ^ (targetLiveOffsetMs >>> 32));
+      result = 31 * result + (int) (minLiveOffsetMs ^ (minLiveOffsetMs >>> 32));
+      result = 31 * result + (int) (maxLiveOffsetMs ^ (maxLiveOffsetMs >>> 32));
       result = 31 * result + (minPlaybackSpeed != 0 ? Float.floatToIntBits(minPlaybackSpeed) : 0);
       result = 31 * result + (maxPlaybackSpeed != 0 ? Float.floatToIntBits(maxPlaybackSpeed) : 0);
       return result;
diff --git a/library/common/src/test/java/com/google/android/exoplayer2/MediaItemTest.java b/library/common/src/test/java/com/google/android/exoplayer2/MediaItemTest.java
index 31aa8bbff2..683e3cbf7f 100644
--- a/library/common/src/test/java/com/google/android/exoplayer2/MediaItemTest.java
+++ b/library/common/src/test/java/com/google/android/exoplayer2/MediaItemTest.java
@@ -295,7 +295,7 @@ public class MediaItemTest {
   }
 
   @Test
-  public void builderSetLiveTargetLatencyMs_setsLiveTargetLatencyMs() {
+  public void builderSetLiveTargetOffsetMs_setsLiveTargetOffsetMs() {
     MediaItem mediaItem =
         new MediaItem.Builder().setUri(URI_STRING).setLiveTargetOffsetMs(10_000).build();
 
@@ -318,6 +318,22 @@ public class MediaItemTest {
     assertThat(mediaItem.liveConfiguration.maxPlaybackSpeed).isEqualTo(1.1f);
   }
 
+  @Test
+  public void builderSetMinLiveOffset_setsMinLiveOffset() {
+    MediaItem mediaItem =
+        new MediaItem.Builder().setUri(URI_STRING).setLiveMinOffsetMs(1234).build();
+
+    assertThat(mediaItem.liveConfiguration.minLiveOffsetMs).isEqualTo(1234);
+  }
+
+  @Test
+  public void builderSetMaxLiveOffset_setsMaxLiveOffset() {
+    MediaItem mediaItem =
+        new MediaItem.Builder().setUri(URI_STRING).setLiveMaxOffsetMs(1234).build();
+
+    assertThat(mediaItem.liveConfiguration.maxLiveOffsetMs).isEqualTo(1234);
+  }
+
   @Test
   public void buildUpon_equalsToOriginal() {
     MediaItem mediaItem =
@@ -346,6 +362,8 @@ public class MediaItemTest {
             .setLiveTargetOffsetMs(20_000)
             .setLiveMinPlaybackSpeed(.9f)
             .setLiveMaxPlaybackSpeed(1.1f)
+            .setLiveMinOffsetMs(2222)
+            .setLiveMaxOffsetMs(4444)
             .setSubtitles(
                 Collections.singletonList(
                     new MediaItem.Subtitle(
diff --git a/library/core/src/main/java/com/google/android/exoplayer2/source/DefaultMediaSourceFactory.java b/library/core/src/main/java/com/google/android/exoplayer2/source/DefaultMediaSourceFactory.java
index 62a40b0110..a4b97219d2 100644
--- a/library/core/src/main/java/com/google/android/exoplayer2/source/DefaultMediaSourceFactory.java
+++ b/library/core/src/main/java/com/google/android/exoplayer2/source/DefaultMediaSourceFactory.java
@@ -110,6 +110,8 @@ public final class DefaultMediaSourceFactory implements MediaSourceFactory {
   @Nullable private List<StreamKey> streamKeys;
   @Nullable private LoadErrorHandlingPolicy loadErrorHandlingPolicy;
   private long liveTargetOffsetMs;
+  private long liveMinOffsetMs;
+  private long liveMaxOffsetMs;
   private float liveMinSpeed;
   private float liveMaxSpeed;
 
@@ -161,6 +163,8 @@ public final class DefaultMediaSourceFactory implements MediaSourceFactory {
       supportedTypes[i] = mediaSourceFactories.keyAt(i);
     }
     liveTargetOffsetMs = C.TIME_UNSET;
+    liveMinOffsetMs = C.TIME_UNSET;
+    liveMaxOffsetMs = C.TIME_UNSET;
     liveMinSpeed = C.RATE_UNSET;
     liveMaxSpeed = C.RATE_UNSET;
   }
@@ -201,6 +205,30 @@ public final class DefaultMediaSourceFactory implements MediaSourceFactory {
     return this;
   }
 
+  /**
+   * Sets the minimum offset from the live edge for live streams, in milliseconds.
+   *
+   * @param liveMinOffsetMs The minimum allowed live offset, in milliseconds, or {@link
+   *     C#TIME_UNSET} to use the media-defined default.
+   * @return This factory, for convenience.
+   */
+  public DefaultMediaSourceFactory setLiveMinOffsetMs(long liveMinOffsetMs) {
+    this.liveMinOffsetMs = liveMinOffsetMs;
+    return this;
+  }
+
+  /**
+   * Sets the maximum offset from the live edge for live streams, in milliseconds.
+   *
+   * @param liveMaxOffsetMs The maximum allowed live offset, in milliseconds, or {@link
+   *     C#TIME_UNSET} to use the media-defined default.
+   * @return This factory, for convenience.
+   */
+  public DefaultMediaSourceFactory setLiveMaxOffsetMs(long liveMaxOffsetMs) {
+    this.liveMaxOffsetMs = liveMaxOffsetMs;
+    return this;
+  }
+
   /**
    * Sets the minimum playback speed for live streams.
    *
@@ -294,7 +322,11 @@ public final class DefaultMediaSourceFactory implements MediaSourceFactory {
         || (mediaItem.liveConfiguration.minPlaybackSpeed == C.RATE_UNSET
             && liveMinSpeed != C.RATE_UNSET)
         || (mediaItem.liveConfiguration.maxPlaybackSpeed == C.RATE_UNSET
-            && liveMaxSpeed != C.RATE_UNSET)) {
+            && liveMaxSpeed != C.RATE_UNSET)
+        || (mediaItem.liveConfiguration.minLiveOffsetMs == C.TIME_UNSET
+            && liveMinOffsetMs != C.TIME_UNSET)
+        || (mediaItem.liveConfiguration.maxLiveOffsetMs == C.TIME_UNSET
+            && liveMaxOffsetMs != C.TIME_UNSET)) {
       mediaItem =
           mediaItem
               .buildUpon()
@@ -310,6 +342,14 @@ public final class DefaultMediaSourceFactory implements MediaSourceFactory {
                   mediaItem.liveConfiguration.maxPlaybackSpeed == C.RATE_UNSET
                       ? liveMaxSpeed
                       : mediaItem.liveConfiguration.maxPlaybackSpeed)
+              .setLiveMinOffsetMs(
+                  mediaItem.liveConfiguration.minLiveOffsetMs == C.TIME_UNSET
+                      ? liveMinOffsetMs
+                      : mediaItem.liveConfiguration.minLiveOffsetMs)
+              .setLiveMaxOffsetMs(
+                  mediaItem.liveConfiguration.maxLiveOffsetMs == C.TIME_UNSET
+                      ? liveMaxOffsetMs
+                      : mediaItem.liveConfiguration.maxLiveOffsetMs)
               .build();
     }
     MediaSource mediaSource = mediaSourceFactory.createMediaSource(mediaItem);
diff --git a/library/core/src/test/java/com/google/android/exoplayer2/DefaultLivePlaybackSpeedControlTest.java b/library/core/src/test/java/com/google/android/exoplayer2/DefaultLivePlaybackSpeedControlTest.java
index 61c0f88b48..50fcf96283 100644
--- a/library/core/src/test/java/com/google/android/exoplayer2/DefaultLivePlaybackSpeedControlTest.java
+++ b/library/core/src/test/java/com/google/android/exoplayer2/DefaultLivePlaybackSpeedControlTest.java
@@ -42,7 +42,11 @@ public class DefaultLivePlaybackSpeedControlTest {
         new DefaultLivePlaybackSpeedControl.Builder().build();
     defaultLivePlaybackSpeedControl.setLiveConfiguration(
         new LiveConfiguration(
-            /* targetLiveOffsetMs= */ 42, /* minPlaybackSpeed= */ 1f, /* maxPlaybackSpeed= */ 1f));
+            /* targetLiveOffsetMs= */ 42,
+            /* minLiveOffsetMs= */ 200,
+            /* maxLiveOffsetMs= */ 400,
+            /* minPlaybackSpeed= */ 1f,
+            /* maxPlaybackSpeed= */ 1f));
 
     assertThat(defaultLivePlaybackSpeedControl.getTargetLiveOffsetUs()).isEqualTo(42_000);
   }
@@ -55,7 +59,11 @@ public class DefaultLivePlaybackSpeedControlTest {
     defaultLivePlaybackSpeedControl.setTargetLiveOffsetOverrideUs(123_456_789);
     defaultLivePlaybackSpeedControl.setLiveConfiguration(
         new LiveConfiguration(
-            /* targetLiveOffsetMs= */ 42, /* minPlaybackSpeed= */ 1f, /* maxPlaybackSpeed= */ 1f));
+            /* targetLiveOffsetMs= */ 42,
+            /* minLiveOffsetMs= */ 200,
+            /* maxLiveOffsetMs= */ 400,
+            /* minPlaybackSpeed= */ 1f,
+            /* maxPlaybackSpeed= */ 1f));
 
     long targetLiveOffsetUs = defaultLivePlaybackSpeedControl.getTargetLiveOffsetUs();
 
@@ -82,7 +90,11 @@ public class DefaultLivePlaybackSpeedControlTest {
     defaultLivePlaybackSpeedControl.setTargetLiveOffsetOverrideUs(123_456_789);
     defaultLivePlaybackSpeedControl.setLiveConfiguration(
         new LiveConfiguration(
-            /* targetLiveOffsetMs= */ 42, /* minPlaybackSpeed= */ 1f, /* maxPlaybackSpeed= */ 1f));
+            /* targetLiveOffsetMs= */ 42,
+            /* minLiveOffsetMs= */ 200,
+            /* maxLiveOffsetMs= */ 400,
+            /* minPlaybackSpeed= */ 1f,
+            /* maxPlaybackSpeed= */ 1f));
     defaultLivePlaybackSpeedControl.setTargetLiveOffsetOverrideUs(C.TIME_UNSET);
 
     long targetLiveOffsetUs = defaultLivePlaybackSpeedControl.getTargetLiveOffsetUs();
@@ -97,6 +109,8 @@ public class DefaultLivePlaybackSpeedControlTest {
     defaultLivePlaybackSpeedControl.setLiveConfiguration(
         new LiveConfiguration(
             /* targetLiveOffsetMs= */ 2_000,
+            /* minLiveOffsetMs= */ C.TIME_UNSET,
+            /* maxLiveOffsetMs= */ C.TIME_UNSET,
             /* minPlaybackSpeed= */ C.RATE_UNSET,
             /* maxPlaybackSpeed= */ C.RATE_UNSET));
 
@@ -113,6 +127,8 @@ public class DefaultLivePlaybackSpeedControlTest {
     defaultLivePlaybackSpeedControl.setLiveConfiguration(
         new LiveConfiguration(
             /* targetLiveOffsetMs= */ 2_000,
+            /* minLiveOffsetMs= */ C.TIME_UNSET,
+            /* maxLiveOffsetMs= */ C.TIME_UNSET,
             /* minPlaybackSpeed= */ C.RATE_UNSET,
             /* maxPlaybackSpeed= */ C.RATE_UNSET));
 
@@ -138,6 +154,8 @@ public class DefaultLivePlaybackSpeedControlTest {
     defaultLivePlaybackSpeedControl.setLiveConfiguration(
         new LiveConfiguration(
             /* targetLiveOffsetMs= */ 2_000,
+            /* minLiveOffsetMs= */ C.TIME_UNSET,
+            /* maxLiveOffsetMs= */ C.TIME_UNSET,
             /* minPlaybackSpeed= */ C.RATE_UNSET,
             /* maxPlaybackSpeed= */ C.RATE_UNSET));
 
@@ -157,6 +175,8 @@ public class DefaultLivePlaybackSpeedControlTest {
     defaultLivePlaybackSpeedControl.setLiveConfiguration(
         new LiveConfiguration(
             /* targetLiveOffsetMs= */ 2_000,
+            /* minLiveOffsetMs= */ C.TIME_UNSET,
+            /* maxLiveOffsetMs= */ C.TIME_UNSET,
             /* minPlaybackSpeed= */ C.RATE_UNSET,
             /* maxPlaybackSpeed= */ C.RATE_UNSET));
 
@@ -176,6 +196,8 @@ public class DefaultLivePlaybackSpeedControlTest {
     defaultLivePlaybackSpeedControl.setLiveConfiguration(
         new LiveConfiguration(
             /* targetLiveOffsetMs= */ 2_000,
+            /* minLiveOffsetMs= */ C.TIME_UNSET,
+            /* maxLiveOffsetMs= */ C.TIME_UNSET,
             /* minPlaybackSpeed= */ C.RATE_UNSET,
             /* maxPlaybackSpeed= */ C.RATE_UNSET));
 
@@ -194,6 +216,8 @@ public class DefaultLivePlaybackSpeedControlTest {
     defaultLivePlaybackSpeedControl.setLiveConfiguration(
         new LiveConfiguration(
             /* targetLiveOffsetMs= */ 2_000,
+            /* minLiveOffsetMs= */ C.TIME_UNSET,
+            /* maxLiveOffsetMs= */ C.TIME_UNSET,
             /* minPlaybackSpeed= */ C.RATE_UNSET,
             /* maxPlaybackSpeed= */ C.RATE_UNSET));
 
@@ -212,6 +236,8 @@ public class DefaultLivePlaybackSpeedControlTest {
     defaultLivePlaybackSpeedControl.setLiveConfiguration(
         new LiveConfiguration(
             /* targetLiveOffsetMs= */ 2_000,
+            /* minLiveOffsetMs= */ C.TIME_UNSET,
+            /* maxLiveOffsetMs= */ C.TIME_UNSET,
             /* minPlaybackSpeed= */ C.RATE_UNSET,
             /* maxPlaybackSpeed= */ 2f));
 
@@ -230,6 +256,8 @@ public class DefaultLivePlaybackSpeedControlTest {
     defaultLivePlaybackSpeedControl.setLiveConfiguration(
         new LiveConfiguration(
             /* targetLiveOffsetMs= */ 2_000,
+            /* minLiveOffsetMs= */ C.TIME_UNSET,
+            /* maxLiveOffsetMs= */ C.TIME_UNSET,
             /* minPlaybackSpeed= */ 0.2f,
             /* maxPlaybackSpeed= */ C.RATE_UNSET));
 
@@ -247,6 +275,8 @@ public class DefaultLivePlaybackSpeedControlTest {
     defaultLivePlaybackSpeedControl.setLiveConfiguration(
         new LiveConfiguration(
             /* targetLiveOffsetMs= */ 2_000,
+            /* minLiveOffsetMs= */ C.TIME_UNSET,
+            /* maxLiveOffsetMs= */ C.TIME_UNSET,
             /* minPlaybackSpeed= */ C.RATE_UNSET,
             /* maxPlaybackSpeed= */ C.RATE_UNSET));
 
@@ -270,6 +300,8 @@ public class DefaultLivePlaybackSpeedControlTest {
     defaultLivePlaybackSpeedControl.setLiveConfiguration(
         new LiveConfiguration(
             /* targetLiveOffsetMs= */ 2_000,
+            /* minLiveOffsetMs= */ C.TIME_UNSET,
+            /* maxLiveOffsetMs= */ C.TIME_UNSET,
             /* minPlaybackSpeed= */ C.RATE_UNSET,
             /* maxPlaybackSpeed= */ C.RATE_UNSET));
 
@@ -278,6 +310,8 @@ public class DefaultLivePlaybackSpeedControlTest {
     defaultLivePlaybackSpeedControl.setLiveConfiguration(
         new LiveConfiguration(
             /* targetLiveOffsetMs= */ 2_000,
+            /* minLiveOffsetMs= */ C.TIME_UNSET,
+            /* maxLiveOffsetMs= */ C.TIME_UNSET,
             /* minPlaybackSpeed= */ C.RATE_UNSET,
             /* maxPlaybackSpeed= */ C.RATE_UNSET));
     float adjustedSpeed2 =
@@ -293,6 +327,8 @@ public class DefaultLivePlaybackSpeedControlTest {
     defaultLivePlaybackSpeedControl.setLiveConfiguration(
         new LiveConfiguration(
             /* targetLiveOffsetMs= */ 2_000,
+            /* minLiveOffsetMs= */ C.TIME_UNSET,
+            /* maxLiveOffsetMs= */ C.TIME_UNSET,
             /* minPlaybackSpeed= */ C.RATE_UNSET,
             /* maxPlaybackSpeed= */ C.RATE_UNSET));
 
diff --git a/library/core/src/test/java/com/google/android/exoplayer2/source/DefaultMediaSourceFactoryTest.java b/library/core/src/test/java/com/google/android/exoplayer2/source/DefaultMediaSourceFactoryTest.java
index 29fe5c690e..08200f93f3 100644
--- a/library/core/src/test/java/com/google/android/exoplayer2/source/DefaultMediaSourceFactoryTest.java
+++ b/library/core/src/test/java/com/google/android/exoplayer2/source/DefaultMediaSourceFactoryTest.java
@@ -246,6 +246,8 @@ public final class DefaultMediaSourceFactoryTest {
     MediaItem mediaItemFromSource = mediaSource.getMediaItem();
 
     assertThat(mediaItemFromSource.liveConfiguration.targetLiveOffsetMs).isEqualTo(C.TIME_UNSET);
+    assertThat(mediaItemFromSource.liveConfiguration.minLiveOffsetMs).isEqualTo(C.TIME_UNSET);
+    assertThat(mediaItemFromSource.liveConfiguration.maxLiveOffsetMs).isEqualTo(C.TIME_UNSET);
     assertThat(mediaItemFromSource.liveConfiguration.minPlaybackSpeed).isEqualTo(C.RATE_UNSET);
     assertThat(mediaItemFromSource.liveConfiguration.maxPlaybackSpeed).isEqualTo(C.RATE_UNSET);
   }
@@ -255,6 +257,8 @@ public final class DefaultMediaSourceFactoryTest {
     DefaultMediaSourceFactory defaultMediaSourceFactory =
         new DefaultMediaSourceFactory((Context) ApplicationProvider.getApplicationContext())
             .setLiveTargetOffsetMs(20)
+            .setLiveMinOffsetMs(2222)
+            .setLiveMaxOffsetMs(4444)
             .setLiveMinSpeed(.1f)
             .setLiveMaxSpeed(2.0f);
     MediaItem mediaItem = new MediaItem.Builder().setUri(URI_MEDIA + "/file.mp4").build();
@@ -263,6 +267,8 @@ public final class DefaultMediaSourceFactoryTest {
     MediaItem mediaItemFromSource = mediaSource.getMediaItem();
 
     assertThat(mediaItemFromSource.liveConfiguration.targetLiveOffsetMs).isEqualTo(20);
+    assertThat(mediaItemFromSource.liveConfiguration.minLiveOffsetMs).isEqualTo(2222);
+    assertThat(mediaItemFromSource.liveConfiguration.maxLiveOffsetMs).isEqualTo(4444);
     assertThat(mediaItemFromSource.liveConfiguration.minPlaybackSpeed).isEqualTo(.1f);
     assertThat(mediaItemFromSource.liveConfiguration.maxPlaybackSpeed).isEqualTo(2.0f);
   }
@@ -272,12 +278,16 @@ public final class DefaultMediaSourceFactoryTest {
     DefaultMediaSourceFactory defaultMediaSourceFactory =
         new DefaultMediaSourceFactory((Context) ApplicationProvider.getApplicationContext())
             .setLiveTargetOffsetMs(20)
+            .setLiveMinOffsetMs(2222)
+            .setLiveMinOffsetMs(4444)
             .setLiveMinSpeed(.1f)
             .setLiveMaxSpeed(2.0f);
     MediaItem mediaItem =
         new MediaItem.Builder()
             .setUri(URI_MEDIA + "/file.mp4")
             .setLiveTargetOffsetMs(10)
+            .setLiveMinOffsetMs(1111)
+            .setLiveMinOffsetMs(3333)
             .setLiveMinPlaybackSpeed(20.0f)
             .setLiveMaxPlaybackSpeed(20.0f)
             .build();