Hamilton allowed two hits and one walk while striking out two over 1.2 scoreless innings in Saturday's 7-1 loss to Cleveland.
Hamilton made his third appearance of the season as part of Chicago's bullpen day Saturday and has yet to give up a run. White Sox manager Rick Renteria told Daryl Van Schouwen of the Chicago Sun-Times that Hamilton is one of three arms used Saturday that could be deployed in high-leverage situations going forward. "[Zack] Burdi now, and [Codi] Heuer and even Ian Hamilton and [Matt] Foster," Renteria said. "We're building some arms for our pen that could become high-leverage guys... I wouldn't be surprised if you see those guys at some point in high-leverage situations." The White Sox are looking at some of their young relievers as potential replacements for setup man Aaron Bummer (biceps), who was placed on the injured list Saturday.