Here's the way I see it. The Sox are committed to a rebuild, so paying Konerko anything close to what he made this year is out of the question. But if he decides that he's not done yet, and he values retiring with the Sox so much that he's willing to play for a non-contender at a drastically reduced salary, I don't see why they couldn't come to an agreement on a short retirement tour type of contract.
Rock over London. Rock on, Chicago.