In the month we're in, it shouldn't matter.
There isn't going to be a lot of game prep with the team going on these next two weeks. If he's like any other coach, his players are getting a little down time and will move into what's basically off-season work—conditioning, weight training, fundamentals, etc.
The dead period starts on the 17th of this month. So, there's not going to be a tremendous impact on recruiting for Wisconsin. These next few weeks do give him a chance to put his staff together at Arkansas and being making the first contact with some of the kids he might want to bring on board. Of course he'll certainly be looking at the kids currently committed and see if they "fit his system," so to speak.
My thoughts are he should get a chance. After what he's accomplished this year he deserves the opportunity.