diff --git a/libraries/datasource/src/androidTest/java/androidx/media3/datasource/DataSourceBitmapLoaderTest.java b/libraries/datasource/src/androidTest/java/androidx/media3/datasource/DataSourceBitmapLoaderTest.java
index 6c0e80813b..2c978e856e 100644
--- a/libraries/datasource/src/androidTest/java/androidx/media3/datasource/DataSourceBitmapLoaderTest.java
+++ b/libraries/datasource/src/androidTest/java/androidx/media3/datasource/DataSourceBitmapLoaderTest.java
@@ -27,6 +27,7 @@ import androidx.media3.common.ParserException;
 import androidx.media3.test.utils.TestUtil;
 import androidx.test.core.app.ApplicationProvider;
 import androidx.test.ext.junit.runners.AndroidJUnit4;
+import androidx.test.filters.SdkSuppress;
 import com.google.common.io.Files;
 import com.google.common.util.concurrent.ListenableFuture;
 import com.google.common.util.concurrent.MoreExecutors;
@@ -48,6 +49,7 @@ import org.junit.runner.RunWith;
  * <p>This test needs to run as an androidTest because robolectric's BitmapFactory is not fully
  * functional.
  */
+@SdkSuppress(minSdkVersion = 22) // This test OOMs on the API 21 emulator used in CI.
 @RunWith(AndroidJUnit4.class)
 public class DataSourceBitmapLoaderTest {
 
diff --git a/libraries/datasource/src/androidTest/java/androidx/media3/datasource/FileDescriptorDataSourceUsingAssetFileDescriptorContractTest.java b/libraries/datasource/src/androidTest/java/androidx/media3/datasource/FileDescriptorDataSourceUsingAssetFileDescriptorContractTest.java
index 217065dffc..ffd9bccac4 100644
--- a/libraries/datasource/src/androidTest/java/androidx/media3/datasource/FileDescriptorDataSourceUsingAssetFileDescriptorContractTest.java
+++ b/libraries/datasource/src/androidTest/java/androidx/media3/datasource/FileDescriptorDataSourceUsingAssetFileDescriptorContractTest.java
@@ -21,6 +21,7 @@ import androidx.media3.test.utils.DataSourceContractTest;
 import androidx.media3.test.utils.TestUtil;
 import androidx.test.core.app.ApplicationProvider;
 import androidx.test.ext.junit.runners.AndroidJUnit4;
+import androidx.test.filters.SdkSuppress;
 import com.google.common.collect.ImmutableList;
 import org.junit.Ignore;
 import org.junit.Test;
@@ -30,6 +31,8 @@ import org.junit.runner.RunWith;
  * {@link DataSource} contract tests for {@link FileDescriptorDataSource} using {@link
  * AssetFileDescriptor}.
  */
+// TODO: b/407727748 - Run this on lower API levels when it's no longer flaky.
+@SdkSuppress(minSdkVersion = 29)
 @RunWith(AndroidJUnit4.class)
 public class FileDescriptorDataSourceUsingAssetFileDescriptorContractTest
     extends DataSourceContractTest {