diff --git a/lib/http-proxy/passes/web-outgoing.js b/lib/http-proxy/passes/web-outgoing.js
index f21d117..8bda893 100644
--- a/lib/http-proxy/passes/web-outgoing.js
+++ b/lib/http-proxy/passes/web-outgoing.js
@@ -42,7 +42,7 @@ var redirectRegex = /^201|30(1|2|7|8)$/;
   function setConnection(req, res, proxyRes) {
     if (req.httpVersion === '1.0') {
       proxyRes.headers.connection = req.headers.connection || 'close';
-    } else if (!proxyRes.headers.connection) {
+    } else if (req.httpVersion !== '2.0' && !proxyRes.headers.connection) {
       proxyRes.headers.connection = req.headers.connection || 'keep-alive';
     }
   },