In return, the Dodgers will receive a player to be named later or cash considerations.
The right-handed reliever had been designated for assignment on Thursday when the Dodgers activated left-handed reliever Grant Dayton from the disabled list.
Romo had only one appearance in July, he had pitched in 30 games. In 25 innings, Romo had allowed 17 runs, 23 hits and 12 walks. He struck out 31, and had seven holds.
Romo has approximately $1,163,934 remaining on his contract, with 71 days remaining in the regular season. The Dodgers were on the hook for 112 days of Romo’s contract, plus agreed to send $414,934 to Tampa Bay as part of the deal, per the Associated Press.