diff --git a/lib/multi.c b/lib/multi.c
index 75ece15ca..130226f56 100644
--- a/lib/multi.c
+++ b/lib/multi.c
@@ -1454,6 +1454,12 @@ static CURLMcode multi_runsingle(struct Curl_multi *multi,
     case CURLM_STATE_CONNECT:
       /* Connect. We want to get a connection identifier filled in. */
       Curl_pgrsTime(data, TIMER_STARTSINGLE);
+      if(data->set.timeout)
+        Curl_expire(data, data->set.timeout, EXPIRE_TIMEOUT);
+
+      if(data->set.connecttimeout)
+        Curl_expire(data, data->set.connecttimeout, EXPIRE_CONNECTTIMEOUT);
+
       result = Curl_connect(data, &async, &protocol_connect);
       if(CURLE_NO_CONNECTION_AVAILABLE == result) {
         /* There was no connection available. We will go to the pending
diff --git a/lib/transfer.c b/lib/transfer.c
index e687e6018..3a18c7bdd 100644
--- a/lib/transfer.c
+++ b/lib/transfer.c
@@ -1558,12 +1558,6 @@ CURLcode Curl_pretransfer(struct Curl_easy *data)
     Curl_pgrsResetTransferSizes(data);
     Curl_pgrsStartNow(data);
 
-    if(data->set.timeout)
-      Curl_expire(data, data->set.timeout, EXPIRE_TIMEOUT);
-
-    if(data->set.connecttimeout)
-      Curl_expire(data, data->set.connecttimeout, EXPIRE_CONNECTTIMEOUT);
-
     /* In case the handle is re-used and an authentication method was picked
        in the session we need to make sure we only use the one(s) we now
        consider to be fine */