diff --git a/README.md b/README.md
index 8d48825..fa36171 100644
--- a/README.md
+++ b/README.md
@@ -47,6 +47,14 @@ Automatically throttles the source based on what the destination can handle.
 $source->pipe($dest);
 ```
 
+Similarly, you can also pipe an instance implementing `DuplexStreamInterface`
+into itself in order to write back all the data that is received.
+This may be a useful feature for a TCP/IP echo service:
+
+```php
+$connection->pipe($connection);
+```
+
 This method returns the destination stream as-is, which can be used to
 set up chains of piped streams:
 
diff --git a/src/ReadableStreamInterface.php b/src/ReadableStreamInterface.php
index cab83c2..e4a5d14 100644
--- a/src/ReadableStreamInterface.php
+++ b/src/ReadableStreamInterface.php
@@ -26,6 +26,14 @@ public function resume();
      * $source->pipe($dest);
      * ```
      *
+     * Similarly, you can also pipe an instance implementing `DuplexStreamInterface`
+     * into itself in order to write back all the data that is received.
+     * This may be a useful feature for a TCP/IP echo service:
+     *
+     * ```php
+     * $connection->pipe($connection);
+     * ```
+     *
      * This method returns the destination stream as-is, which can be used to
      * set up chains of piped streams:
      *
diff --git a/src/Util.php b/src/Util.php
index dca4464..d59728e 100644
--- a/src/Util.php
+++ b/src/Util.php
@@ -52,7 +52,7 @@ public static function pipe(ReadableStreamInterface $source, WritableStreamInter
 
         // forward end event from source as $dest->end()
         $end = isset($options['end']) ? $options['end'] : true;
-        if ($end && $source !== $dest) {
+        if ($end) {
             $source->on('end', $ender = function () use ($dest) {
                 $dest->end();
             });
diff --git a/tests/UtilTest.php b/tests/UtilTest.php
index 4de6edf..382bafd 100644
--- a/tests/UtilTest.php
+++ b/tests/UtilTest.php
@@ -6,6 +6,7 @@
 use React\Stream\ReadableStream;
 use React\Stream\Util;
 use React\Stream\WritableStream;
+use React\Stream\CompositeStream;
 
 /**
  * @covers React\Stream\Util
@@ -232,6 +233,21 @@ public function testPipeClosingDestRemovesListeners()
         $this->assertCount(0, $dest->listeners('drain'));
     }
 
+    public function testPipeDuplexIntoSelfEndsOnEnd()
+    {
+        $readable = $this->getMockBuilder('React\Stream\ReadableStreamInterface')->getMock();
+        $readable->expects($this->any())->method('isReadable')->willReturn(true);
+        $writable = $this->getMockBuilder('React\Stream\WritableStreamInterface')->getMock();
+        $writable->expects($this->any())->method('isWritable')->willReturn(true);
+        $duplex = new CompositeStream($readable, $writable);
+
+        Util::pipe($duplex, $duplex);
+
+        $writable->expects($this->once())->method('end');
+
+        $duplex->emit('end');
+    }
+
     /** @test */
     public function forwardEventsShouldSetupForwards()
     {