The Rangers activated Winn from the 15-day injured list Tuesday.
Winn served the minimum 15 days on the IL after being shut down with right arm fatigue May 24. The 26-year-old's rehab assignment with Triple-A Round Rock went according to plan, clearing him to return to the big-league club. Luis Curvelo was optioned to Round Rock on Sunday to make room for Winn on the active roster.