diff --git a/core/src/main/scala/org/apache/spark/shuffle/hash/BlockStoreShuffleFetcher.scala b/core/src/main/scala/org/apache/spark/shuffle/hash/BlockStoreShuffleFetcher.scala
index e93d0ba950266..16d206a6f8043 100644
--- a/core/src/main/scala/org/apache/spark/shuffle/hash/BlockStoreShuffleFetcher.scala
+++ b/core/src/main/scala/org/apache/spark/shuffle/hash/BlockStoreShuffleFetcher.scala
@@ -25,7 +25,6 @@ import scala.util.{Failure, Success, Try}
 import org.apache.spark._
 import org.apache.spark.shuffle.FetchFailedException
 import org.apache.spark.storage.{BlockId, BlockManagerId, ShuffleBlockFetcherIterator, ShuffleBlockId}
-import org.apache.spark.util.CompletionIterator
 
 private[shuffle] object BlockStoreShuffleFetcher extends Logging {
   def fetchBlockStreams(
@@ -80,10 +79,6 @@ private[shuffle] object BlockStoreShuffleFetcher extends Logging {
       // Note: we use getSizeAsMb when no suffix is provided for backwards compatibility
       SparkEnv.get.conf.getSizeAsMb("spark.reducer.maxSizeInFlight", "48m") * 1024 * 1024)
 
-    val itr = blockFetcherItr.map(unpackBlock)
-
-    CompletionIterator[(BlockId, InputStream), Iterator[(BlockId, InputStream)]](itr, {
-      context.taskMetrics().updateShuffleReadMetrics()
-    })
+    blockFetcherItr.map(unpackBlock)
   }
 }
diff --git a/core/src/main/scala/org/apache/spark/shuffle/hash/HashShuffleReader.scala b/core/src/main/scala/org/apache/spark/shuffle/hash/HashShuffleReader.scala
index 4efa9b0fc1871..40e54ca0a3ab2 100644
--- a/core/src/main/scala/org/apache/spark/shuffle/hash/HashShuffleReader.scala
+++ b/core/src/main/scala/org/apache/spark/shuffle/hash/HashShuffleReader.scala
@@ -17,11 +17,11 @@
 
 package org.apache.spark.shuffle.hash
 
+import org.apache.spark.{SparkEnv, TaskContext, InterruptibleIterator}
 import org.apache.spark.serializer.Serializer
-import org.apache.spark.shuffle.{BaseShuffleHandle, ShuffleReader}
+import org.apache.spark.shuffle.{ShuffleReader, BaseShuffleHandle}
 import org.apache.spark.util.CompletionIterator
 import org.apache.spark.util.collection.ExternalSorter
-import org.apache.spark.{InterruptibleIterator, SparkEnv, TaskContext}
 
 private[spark] class HashShuffleReader[K, C](
     handle: BaseShuffleHandle[K, _, C],
@@ -51,24 +51,22 @@ private[spark] class HashShuffleReader[K, C](
 
     // Create a key/value iterator for each stream
     val recordIterator = wrappedStreams.flatMap { wrappedStream =>
-      val kvIter = serializerInstance.deserializeStream(wrappedStream).asKeyValueIterator
-      CompletionIterator[(Any, Any), Iterator[(Any, Any)]](kvIter, {
-        // Close the stream once all the records have been read from it to free underlying
-        // ManagedBuffer as soon as possible. Note that in case of task failure, the task's
-        // TaskCompletionListener will make sure this is released.
-        wrappedStream.close()
-      })
+      serializerInstance.deserializeStream(wrappedStream).asKeyValueIterator
     }
 
+    val readMetrics = context.taskMetrics.createShuffleReadMetricsForDependency()
     // Update read metrics for each record materialized
-    val iter = new InterruptibleIterator[(Any, Any)](context, recordIterator) {
-     val readMetrics = context.taskMetrics.createShuffleReadMetricsForDependency()
-     override def next(): (Any, Any) = {
-       readMetrics.incRecordsRead(1)
-       delegate.next()
-     }
+    val metricIter = new InterruptibleIterator[(Any, Any)](context, recordIterator) {
+      override def next(): (Any, Any) = {
+        readMetrics.incRecordsRead(1)
+        delegate.next()
+      }
     }
 
+    val iter = CompletionIterator[(Any, Any), Iterator[(Any, Any)]](metricIter, {
+      context.taskMetrics().updateShuffleReadMetrics()
+    })
+
     val aggregatedIter: Iterator[Product2[K, C]] = if (dep.aggregator.isDefined) {
       if (dep.mapSideCombine) {
         // We are reading values that are already combined
diff --git a/core/src/main/scala/org/apache/spark/storage/ShuffleBlockFetcherIterator.scala b/core/src/main/scala/org/apache/spark/storage/ShuffleBlockFetcherIterator.scala
index 68f6b47fffc38..a1376c8f4e484 100644
--- a/core/src/main/scala/org/apache/spark/storage/ShuffleBlockFetcherIterator.scala
+++ b/core/src/main/scala/org/apache/spark/storage/ShuffleBlockFetcherIterator.scala
@@ -23,10 +23,10 @@ import java.util.concurrent.LinkedBlockingQueue
 import scala.collection.mutable.{ArrayBuffer, HashSet, Queue}
 import scala.util.{Failure, Try}
 
+import org.apache.spark.{Logging, TaskContext}
 import org.apache.spark.network.buffer.ManagedBuffer
 import org.apache.spark.network.shuffle.{BlockFetchingListener, ShuffleClient}
 import org.apache.spark.util.Utils
-import org.apache.spark.{Logging, TaskContext}
 
 /**
  * An iterator that fetches multiple blocks. For local blocks, it fetches from the local block
@@ -306,7 +306,7 @@ final class ShuffleBlockFetcherIterator(
         // not exist, SPARK-4085). In that case, we should propagate the right exception so
         // the scheduler gets a FetchFailedException.
         Try(buf.createInputStream()).map { inputStream =>
-          new WrappedInputStream(inputStream, this)
+          new BufferReleasingInputStream(inputStream, this)
         }
     }
 
@@ -314,8 +314,10 @@ final class ShuffleBlockFetcherIterator(
   }
 }
 
-// Helper class that ensures a ManagerBuffer is released upon InputStream.close()
-private class WrappedInputStream(delegate: InputStream, iterator: ShuffleBlockFetcherIterator)
+/** Helper class that ensures a ManagerBuffer is released upon InputStream.close() */
+private class BufferReleasingInputStream(
+    delegate: InputStream,
+    iterator: ShuffleBlockFetcherIterator)
   extends InputStream {
   private var closed = false
 
diff --git a/core/src/test/scala/org/apache/spark/storage/ShuffleBlockFetcherIteratorSuite.scala b/core/src/test/scala/org/apache/spark/storage/ShuffleBlockFetcherIteratorSuite.scala
index 60e6840cb00bd..f7dc651e6d5d0 100644
--- a/core/src/test/scala/org/apache/spark/storage/ShuffleBlockFetcherIteratorSuite.scala
+++ b/core/src/test/scala/org/apache/spark/storage/ShuffleBlockFetcherIteratorSuite.scala
@@ -115,7 +115,7 @@ class ShuffleBlockFetcherIteratorSuite extends SparkFunSuite {
 
       // Make sure we release buffers when a wrapped input stream is closed.
       val mockBuf = localBlocks.getOrElse(blockId, remoteBlocks(blockId))
-      val wrappedInputStream = new WrappedInputStream(mock(classOf[InputStream]), iterator)
+      val wrappedInputStream = new BufferReleasingInputStream(mock(classOf[InputStream]), iterator)
       verify(mockBuf, times(0)).release()
       wrappedInputStream.close()
       verify(mockBuf, times(1)).release()