I hope this proves to be correct although I asked about this with a good source a few minutes ago. They said they simply can't see it happening because, "A.J. would be very, very, very, very miserable..." (direct quote)
They feel he's going to Texas.
I picked up hints from this individual in the past who knows A.J. well that he likes Chicago, the Sox organization and the fans but he really, really wants a monster payday for his final contract...that he doesn't just want a 'good' contract. If that's true, that's probably out of the Sox range...but we'll see.