The Marlins acquired Sasaki and outfielder John Cruz on Wednesday in a three-team trade involving the Rays and Yankees, Christina De Nicola of MLB.com reports. The Rays acquired catcher Ben Rortvedt in the deal, while utility man Jon Berti was sent to the Yankees.

Sasaki (undisclosed) will begin a rehab assignment Thursday with the Rays' rookie-level Florida Complex League affiliate.

Sasaki is on the 7-day injured list with High-A Bowling Green due an undisclosed injury.