diff --git a/lib/http2.js b/lib/http2.js
index be2c9596ebc..8a5d83adfe4 100644
--- a/lib/http2.js
+++ b/lib/http2.js
@@ -1088,6 +1088,7 @@ ClientRequest.prototype.onSocket = function(socket) {
     // and we need to make sure we don't double-fire the error event.
     req._hadError = true;
     parser.finish();
+    socket.destroy();
   }
   socket.on('error', errorListener);