Did the White Sox made Edwin Jackson available? [UPDATE]

Heyman @ SI:

The White Sox are fielding calls on Edwin Jackson. In this market he may be the best out there as far as starting pitchers.

Hey, maybe Kenny will get Dan Hudson back!

UPDATE: J.J. and James give us their thoughts on the subject. J.J. more specifically on the problems with this particular rumor and James more generally on the problems with White Sox roster rigidity.