diff --git a/src/proto_http.c b/src/proto_http.c
index 24d034a..6c940f1 100644
--- a/src/proto_http.c
+++ b/src/proto_http.c
@@ -4261,6 +4261,8 @@
 		/* Trim any possible response */
 		res->chn->buf->i = 0;
 		res->next = res->sov = 0;
+		/* If not already done, don't perform any connection establishment */
+		channel_dont_connect(req->chn);
 	} else {
 		/* keep-alive not possible */
 		if (unlikely(txn->flags & TX_USE_PX_CONN)) {