The White Sox and Tigers are among the teams to which Roy Oswalt would not accept a trade, according to Ken Rosenthal of FOX Sports (Twitter links). A couple of teams are interested in Oswalt, though the market for the right-hander's services remains slow. The Astros are reluctant to pick up much of the $25MM or so remaining on Oswalt's contract, which limits the number of teams with serious interest.
It doesn't appear that Cliff Lee will be on the market for long, so teams in search of starting pitching may soon be calling the Astros about Oswalt, who has a no-trade clause. The Mets won't be one of them, at least for now. They are prioritizing Ted Lilly, according to multiple reports today.
The Tigers could use stability behind Justin Verlander, Jeremy Bonderman and Max Scherzer. The White Sox have had a steady rotation so far, but recently lost Jake Peavy to the DL. The Tigers, White Sox and Twins are all within two games of each other in the AL Central.