The Mets made the move before playing at Dodger Stadium on Wednesday night. Righty Tyler Pill was promoted from Triple-A Las Vegas to start against Los Angeles.
Wheeler's move was retroactive to Tuesday, a day after he was hit hard in a loss to the Dodgers. He is 3-5 with a 5.29 ERA in 13 starts.
Wheeler joined starters Noah Syndergaard and Matt Harvey on the DL. Closer Jeurys Familia, shortstop Asdrubal Cabrera, second baseman Neil Walker, outfielder Juan Lagares and third baseman David Wright are also currently sidelined for the Mets.