Leone (back) will begin throwing live batting practice sessions soon, James Fegan of SoxMachine.com reports.
The White Sox placed Leone on the 15-day injured list Monday, retroactive to May 5, with lower-back tightness, Vinnie Duber of AllCHGO.com reports.
Leone was removed from Saturday's game against the Cardinals due to lower-back tightness, Daryl Van Schouwen of the Chicago Sun-Times reports.
Leone won't start Wednesday against Atlanta after the game was postponed due to inclement weather in Chicago.
Leone will serve as the White Sox's opening pitcher for Wednesday's game versus Atlanta, Vinnie Duber of AllCHGO.com reports.
The White Sox selected Leone's contract from Triple-A Charlotte on Wednesday, Daryl Van Schouwen of the Chicago Sun-Times reports.
Leone signed a minor-league contract with White Sox on Tuesday which includes an invitation to major-league spring training, Daryl Van Schouwen of the Chicago Sun-Times reports.
Leone was claimed off waivers by the Mariners on Thursday, Ryan Divish of The Seattle Times reports.
The Angels placed Leone on waivers Tuesday, Bob Nightengale of USA Today reports.
The Mets traded Leone to the Angels on Tuesday, Will Sammon of The Athletic reports.