diff --git a/src/proto_http.c b/src/proto_http.c
index d1acf30..fb831b9 100644
--- a/src/proto_http.c
+++ b/src/proto_http.c
@@ -5155,6 +5155,7 @@
 		 * it's better to do it (at least it helps with debugging).
 		 */
 		s->txn->flags |= TX_PREFER_LAST;
+		srv_conn->flags |= CO_FL_PRIVATE;
 	}
 
 	if (fe->options2 & PR_O2_INDEPSTR)