Leasure (shoulder) will begin a throwing program Thursday, James Fegan of SoxMachine.com reports.
Leasure landed on the injured list July 20 due to a right shoulder impingement, but he has finally been given the green light to begin throwing again. The White Sox haven't specified a target date for the 25-year-old to return to their bullpen, though as a reliever, it shouldn't take too long for him to build back up.