The next season, Zupcic could not find a spot on the team. After making just four appearances in the first month, Zupcic was placed on waivers by the Red Sox. The Chicago White Sox claimed him on May 5, 1994. Zupcic made his White Sox debut on May 14 with a pinch-hit RBI single against the Texas Rangers. Over the next couple of months, Zupcic made occasional outfield starts in place of regulars Tim Raines and Darrin Jackson. He also made his first major league appearances at first base and third base. He wore #43 that season.