diff --git a/lib/stream.js b/lib/stream.js
index b40a774d9c2..16e2e0e723f 100644
--- a/lib/stream.js
+++ b/lib/stream.js
@@ -99,7 +99,6 @@ Stream.prototype.pipe = function(dest, options) {
     source.removeListener('end', cleanup);
     source.removeListener('close', cleanup);
 
-    dest.removeListener('end', cleanup);
     dest.removeListener('close', cleanup);
   }