Most ski areas around the Upper Midwest have already closed with spring sweeping in early this season. With that being said, most places in the UP and Lutsen are still open and look to have a little snow (and unfortunately some rain) coming this week.
The best chance for snow in the coming week will be on Monday night and into Tuesday, when a low pressure system will bring snow showers to the North Shore and UP. Amount will very much be on the light side with 1-2" at most, and it won't stick around long as the snow will switch over to rain by Tuesday afternoon. The same will hold true for Thursday night and into Friday, but with even lighter snow amounts.
It looks like there will be a snow shower here and there, but spring looks to be well on its way!