Detroit announced the moves Wednesday. The Tigers also reinstated outfielder Avisail Garcia from the 15-day disabled list and optioned him to Toledo.
Coke has been bothered by a left groin strain, and he goes on the DL retroactive to April 26. He is 0-3 with an 8.31 ERA for the Tigers this season with 10 strikeouts in 8 2/3 innings.
Source: ESPN.com