(CBS) Though he’s currently on the disabled list and hasn’t pitched in a game since June 29, Jesse Crain has been traded to the Rays.

The team sent Crain and cash considerations to the Rays in exchange for players to be named later or cash considerations.

“Jesse has been one of the top relievers in the American League, not only this season but also throughout his entire tenure with the White Sox,” said White Sox general manager Rick Hahn.  “We cannot say enough about what Jesse has meant to our bullpen, and the positive impact he’s had on our young relievers.  We certainly think he has the ability to influence this year’s pennant race very positively for the Rays.”

Crain, a free agent after this season, is on the DL with a shoulder strain and isn’t expected to resume throwing until later this week.

The non-waiver trade deadline is Wednesday at 3 p.m. CT.