Williams has cleared waivers and was outrighted to the White Sox's alternate training site Saturday, LaMond Pope of the Chicago Tribune reports.
Williams was designated for assignment by the White Sox on Thursday.
Williams' contract was selected by the White Sox on Thursday. He's starting in left field for Thursday's game against Kansas City.
Williams was reassigned to minor-league camp Tuesday, Daryl Van Schouwen of the Chicago Sun-Times reports.
Williams and Billy Hamilton are fighting for the final roster spot, Scott Merkin of MLB.com reports.
Williams started in left field and went 1-for-3 with a walk and a run scored in Thursday's spring game against the Reds.
Williams signed a minor-league contract with the White Sox on Friday, Bob Nightengale of USA Today reports.
Williams cleared waivers Friday and was outrighted to the Reds' alternate site.
The Reds designated Williams for assignment Tuesday, Mark Sheldon of MLB.com reports.
Williams was claimed off waivers by the Reds on Saturday, Jim Salisbury of NBC Sports Philadelphia reports.