The Rays are calling the move precautionary.
"He's fine," manager Joe Maddon said after the game. "He's a little tight in the right hammy. He just came up later, a team-type of situation, where he said, 'I can't cover.' I don't anticipate anything bad with that, but we had to get him out."
Even before the injury, Joyce was not scheduled to start Wednesday against Blue Jays left-hander Mark Buehrle.
Bill Chastain is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.