diff --git a/core/src/main/java/io/grpc/internal/CompositeReadableBuffer.java b/core/src/main/java/io/grpc/internal/CompositeReadableBuffer.java
index 9baec34b189..ea654c5b9ba 100644
--- a/core/src/main/java/io/grpc/internal/CompositeReadableBuffer.java
+++ b/core/src/main/java/io/grpc/internal/CompositeReadableBuffer.java
@@ -23,6 +23,7 @@
 import java.nio.InvalidMarkException;
 import java.util.ArrayDeque;
 import java.util.Deque;
+import java.util.Queue;
 import javax.annotation.Nullable;
 
 /**
@@ -38,6 +39,7 @@ public class CompositeReadableBuffer extends AbstractReadableBuffer {
   private final Deque<ReadableBuffer> readableBuffers;
   private Deque<ReadableBuffer> rewindableBuffers;
   private int readableBytes;
+  private final Queue<ReadableBuffer> buffers = new ArrayDeque<ReadableBuffer>(2);
   private boolean marked;
 
   public CompositeReadableBuffer(int initialCapacity) {
@@ -159,6 +161,31 @@ public void readBytes(OutputStream dest, int length) throws IOException {
     execute(STREAM_OP, length, dest, 0);
   }
 
+  /**
+   * Reads {@code length} bytes from this buffer and writes them to the destination buffer.
+   * Increments the read position by {@code length}. If the required bytes are not readable, throws
+   * {@link IndexOutOfBoundsException}.
+   *
+   * @param dest the destination buffer to receive the bytes.
+   * @param length the number of bytes to be copied.
+   * @throws IndexOutOfBoundsException if required bytes are not readable
+   */
+  public void readBytes(CompositeReadableBuffer dest, int length) {
+    checkReadable(length);
+    readableBytes -= length;
+
+    while (length > 0) {
+      ReadableBuffer buffer = buffers.peek();
+      if (buffer.readableBytes() > length) {
+        dest.addBuffer(buffer.readBytes(length));
+        length = 0;
+      } else {
+        dest.addBuffer(buffers.poll());
+        length -= buffer.readableBytes();
+      }
+    }
+  }
+
   @Override
   public ReadableBuffer readBytes(int length) {
     if (length <= 0) {