Thorpe (elbow) will make an appearance in a minor-league game Thursday, Scott Merkin of MLB.com reports.
White Sox pitching coach Ethan Katz said Monday that Thorpe is "responding well" as the team continues the pitcher's slow ramp-up following surgery to remove a bone spur from his right elbow last September. He will begin the season on the injured list, and it's not yet clear how long he might be sidelined.