Williams signed a minor-league contract with the Phillies on Thursday.
Williams was outrighted to Triple-A Memphis on Friday.
Triple-A Memphis placed Williams on its 7-day injured list Monday due to a hamstring strain, Jeff Jones of the Belleville News-Democrat reports.
Williams (neck) was reinstated from the 10-day injured list and optioned to Triple-A Memphis on Friday.
Williams (neck) went 1-for-2 with an RBI single in Triple-A Memphis' win over Gwinnett on Saturday.
Williams (neck) resumed baseball activities Wednesday, Jeff Jones of the Belleville News-Democrat reports.
Williams was placed on the 10-day injured list due to neck stiffness Saturday, Jeff Jones of the Belleville News-Democrat reports.
Williams went 2-for-3 with a solo home run in a loss to the Dodgers on Monday.
Williams is not in the starting lineup for Tuesday's game against the White Sox, Zachary Silver of MLB.com reports.
Williams will start in left field and bat seventh Wednesday against the Pirates, Zachary Silver of MLB.com reports.