1:53pm: This rumor is bogus, tweets O'Brien.
1:37pm: A potential trade of White Sox lefty reliever Matt Thornton to the Braves is picking up steam, tweets Joe Cowley of the Chicago Sun-Times. However, David O'Brien of the Atlanta Journal-Constitution says this one's not happening.
Thornton, 35, posted a 3.32 ERA, 9.5 K/9, 3.2 BB/9, 0.45 HR/9, and 48.8% groundball rate in 59 2/3 innings for the White Sox this year. He's owed $12MM through 2013 on an extension signed in March. It's unclear whether Sox GM Kenny Williams would further deplete his bullpen depth after trading Sergio Santos to Toronto today, but relievers generally aren't crucial to a rebuilding effort.