diff --git a/library/src/main/java/com/google/android/exoplayer2/source/chunk/ChunkSampleStream.java b/library/src/main/java/com/google/android/exoplayer2/source/chunk/ChunkSampleStream.java
index bb2f9b214b..6de7c6ec01 100644
--- a/library/src/main/java/com/google/android/exoplayer2/source/chunk/ChunkSampleStream.java
+++ b/library/src/main/java/com/google/android/exoplayer2/source/chunk/ChunkSampleStream.java
@@ -251,7 +251,7 @@ public class ChunkSampleStream<T extends ChunkSource> implements SampleStream, S
 
   @Override
   public boolean continueLoading(long positionUs) {
-    if (loader.isLoading()) {
+    if (loadingFinished || loader.isLoading()) {
       return false;
     }
 
diff --git a/library/src/main/java/com/google/android/exoplayer2/source/hls/HlsSampleStreamWrapper.java b/library/src/main/java/com/google/android/exoplayer2/source/hls/HlsSampleStreamWrapper.java
index 1bcc7fe878..863b06ec38 100644
--- a/library/src/main/java/com/google/android/exoplayer2/source/hls/HlsSampleStreamWrapper.java
+++ b/library/src/main/java/com/google/android/exoplayer2/source/hls/HlsSampleStreamWrapper.java
@@ -329,7 +329,7 @@ import java.util.LinkedList;
 
   @Override
   public boolean continueLoading(long positionUs) {
-    if (loader.isLoading()) {
+    if (loadingFinished || loader.isLoading()) {
       return false;
     }