diff --git a/lib/internal/streams/pipeline.js b/lib/internal/streams/pipeline.js
index 798745a110d51b..07ecaea9794d50 100644
--- a/lib/internal/streams/pipeline.js
+++ b/lib/internal/streams/pipeline.js
@@ -50,7 +50,16 @@ function call(fn) {
 }
 
 function pipe(from, to) {
-  return from.pipe(to);
+  from.pipe(to);
+
+  if (isRequest(to)) {
+    to.on('response', function() {
+      from.unpipe(this);
+      from.resume();
+    });
+  }
+
+  return to;
 }
 
 function popCallback(streams) {