I don't think they want him that bad. That's only one week less than as one of their two allowed returnees from IR, so small advantage there other than saving 3 weeks salary, but it runs the risk of him signing elsewhere. Four weeks should have been an acceptable time to carry him on an otherwise fairly healthy roster as a game day inactive, with the advantage of playing 3 weeks earlier (maybe less or more depending on his actual recovery.)
I don't think they care much if they get him back or not.