Meche has missed 86 games with right shoulder bursitis after going 0-4 with a 6.66 ERA in nine starts. He'll work out of the bullpen.
Jason Kendall, who had been the Royals starting catcher in 118 of their first 132 games, will undergo shoulder surgery Friday in Los Angeles for a torn right rotator cuff.
Royals manager Ned Yost said the recovery time is eight to 10 months, but the club is hopeful he would be back by the season opener next January.
Yost said a MRI on Monday detected "extensive damage" to Kendall's throwing shoulder.
Kendall, who this season became the fifth player in major league history to catch 2,000 games, hit .256 with 18 extra-base hits, all doubles, this season, his first with the Royals.
The Royals also said Wednesday they've called up catcher Lucas May from Omaha.
Information from The Associated Press was used in this report.