The 25-year-old De Los Santos went 1-2 with two saves and a 5.34 ERA in 26 games for Triple-A Durham this season. He was on Tampa Bay's 40-man roster, but has yet to pitch in the majors.
The Rays will receive cash or a player to be named in Saturday's trade.
Tampa Bay acquired All-Star reliever Jesse Crain from Chicago on July 29. Sidelined by a right shoulder strain, Crain has been throwing on the side for the Rays but has not been activated.
A spokesman for the White Sox said the deal for De Los Santos is a separate trade from the Crain deal.
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- Tampa Bay Rays
- Chicago White Sox
- Jesse Crain
- The Rays