diff --git a/src/session.c b/src/session.c
index 22f6b58b4..c4c929450 100644
--- a/src/session.c
+++ b/src/session.c
@@ -404,14 +404,12 @@ static int conn_complete_session(struct connection *conn)
 {
 	struct session *sess = conn->owner;
 
+	/* the embryonic session's task is not needed anymore */
 	conn_clear_xprt_done_cb(conn);
 
 	if (conn->flags & CO_FL_ERROR)
 		goto fail;
 
-	if (conn->flags & CO_FL_HANDSHAKE)
-		return 0; /* wait more */
-
 	/* if logs require transport layer information, note it on the connection */
 	if (sess->fe->to_log & LW_XPRT)
 		conn->flags |= CO_FL_XPRT_TRACKED;