Choi is hitting .266 with nine homers and 33 RBIs in 70 games. He has just eight hits in his last 46 at-bats.
Tampa Bay dealt reliever Casey Sadler to the Los Angeles Dodgers for minor league right-hander Nathan Witt, who was assigned to Class A Bowling Green. Sadler had been designated for assignment on Saturday.
The Rays also traded minor league infielder-outfielder Andrew Velazquez to Cleveland for international signing bonus pool allotment.
Right-hander Jose De Leon, coming back from Tommy John surgery, was reinstated from the 60-day IL and optioned to Durham.
The moves were announced before Wednesday night's game against Baltimore.