The Rangers transferred Winn (shoulder) to the 60-day injured list Wednesday.
The Rangers optioned Winn to Triple-A Round Rock on Tuesday.
Winn was recalled from Triple-A Round Rock on Sunday, Evan Grant of The Dallas Morning News reports.
The Rangers optioned Winn to Triple-A Round Rock on Wednesday.
Winn (0-1) was charged with Friday's loss after giving up four runs on four hits over a third of an inning against the Royals.
The Rangers recalled Winn from Triple-A Round Rock on Sunday.
Winn was optioned to Triple-A Round Rock on Sunday.
Winn allowed one run on two hits and a walk while striking out one over 1.2 innings in Monday's Cactus League start against the White Sox.
Winn has a 7.88 ERA and 2.00 WHIP in 16 innings for Triple-A Round Rock.
Winn was added to the Rangers' 40-man roster Tuesday.