The White Sox acquired Civale from the Brewers on Friday in exchange for first baseman Andrew Vaughn, Jon Heyman of the New York Post reports.
Civale requested a trade after being told earlier this week that he would be demoted to the bullpen, and Milwaukee has quickly accommodated the request. The veteran right-hander last pitched Monday, so he could join Chicago's rotation as soon as Saturday against the Rangers. Civale held a 4.91 ERA, 1.36 WHIP and 19:7 K:BB in 22 innings over his five starts with Milwaukee this season.