It's his non-throwing shoulder and it is sprained a little. My bet is he plays. Even if he gets hurt the Eagles have 3 weeks before their next meaningful game. The Eagles want the #1 seed. They need 1 more win to get it. After that they can sit everyone like they did last year.
The one thing they my do though is cut down his running plays. or tell him not to take any chances, just slide if anyone gets close.
The Eagles have had a lot of luck with injuries this year so I don't think they will worry much about Hurts.