diff --git a/lib/http.c b/lib/http.c
index b23739431..76a504b5a 100644
--- a/lib/http.c
+++ b/lib/http.c
@@ -3630,6 +3630,10 @@ CURLcode Curl_http_readwrite_headers(struct Curl_easy *data,
             if(conn->httpversion != 20)
               infof(data, "Lying server, not serving HTTP/2\n");
           }
+          if(conn->httpversion < 20) {
+            conn->bundle->multiuse = BUNDLE_NO_MULTIUSE;
+            infof(data, "Mark bundle as not supporting multiuse\n");
+          }
         }
         else if(!nc) {
           /* this is the real world, not a Nirvana