Minato only wins if he kills Sasuke before he puts susanoo up. If Sasuke does put Susanoo up it's over for Minato since Minato has no jutsu that could break Susanoo. Minato could use the barrier use Sasuke's own attacks against him. For Example if Sasuke used Ameterasu arrows , Minato could use the barrier to redirect it back at susanoo. He would have to do this multiple times which would be extremely draining. Sasuke has more chances of winning.