Red Sox targeting White Sox setup man Matt Thornton

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Like many in-contention major league teams, the Red Sox will be looking to beef up their bullpen before the July 31 trade deadline. And it sounds like a certain pursuit might already be underway.

According to FOX Sports’ Ken Rosenthal, White Sox reliever Matt Thornton is on a “list of possible bullpen targets” for the Boston front office. Atlanta is also known to have inquired about the veteran left-hander, though Rosenthal heard Sunday that the Braves’ actual level of interest is “limited.”

Thornton, 36, has registered a 3.04 ERA, 1.20 WHIP and 20/9 K/BB ratio in 26 2/3 innings this season out of the White Sox bullpen. He has held left-handed batters to a .229/.295/.350 batting line in his career and he’s also pretty effective against righties.