diff --git a/lib/url.c b/lib/url.c
index 5e1a0c32f..fbe10a8cb 100644
--- a/lib/url.c
+++ b/lib/url.c
@@ -2908,7 +2908,8 @@ static bool IsPipeliningPossible(const struct Curl_easy *handle,
                                  const struct connectdata *conn)
 {
   /* If a HTTP protocol and pipelining is enabled */
-  if((conn->handler->protocol & PROTO_FAMILY_HTTP) && !conn->bits.close) {
+  if((conn->handler->protocol & PROTO_FAMILY_HTTP) &&
+     (!conn->bits.protoconnstart || !conn->bits.close)) {
 
     if(Curl_pipeline_wanted(handle->multi, CURLPIPE_HTTP1) &&
        (handle->set.httpversion != CURL_HTTP_VERSION_1_0) &&
@@ -3283,8 +3284,8 @@ ConnectionExists(struct Curl_easy *data,
       pipeLen = check->send_pipe->size + check->recv_pipe->size;
 
       if(canPipeline) {
-        if(check->bits.close)
-            continue;
+        if(check->bits.protoconnstart && check->bits.close)
+          continue;
 
         if(!check->bits.multiplex) {
           /* If not multiplexing, make sure the pipe has only GET requests */