Hamilton signed a minor-league contract with the Rays on Wednesday, Marc Topkin of the Tampa Bay Times reports.
The White Sox released Hamilton on Tuesday.
The White Sox sent Hamilton (hamstring) outright to Triple-A Charlotte on Thursday, Daryl Van Schouwen of the Chicago Sun-Times reports.
Hamilton (hamstring) has been sent to Triple-A Charlotte to begin a rehab assignment, Vinnie Duber of AllCHGO.com reports.
White Sox general manager Rick Hahn said Monday that Hamilton (hamstring) could begin a minor-league rehab assignment in a week to 10 days, Jay Cohen of the Associated Press reports.
The White Sox placed Hamilton on the 15-day injured list Wednesday with a left hamstring strain, Daryl Van Schouwen of the Chicago Sun-Times reports.
Hamilton did not have an at-bat in Tuesday's win over the Twins but did notch a steal as a pinch runner.
The White Sox selected Hamilton's contract from Triple-A Charlotte.
Hamilton is expected to be called up from Triple-A Charlotte prior to Tuesday's game against the Twins, Daryl Van Schouwen of the Chicago Sun-Times reports.
Hamilton was reassigned to minor-league camp by the White Sox on Monday, LaMond Pope of the Chicago Tribune reports.