"I just felt uncomfortable out there," said Floyd, who's had Tommy John surgery and two surgeries for fractures in his elbow. "I tossed a ball and it felt like something I needed to do and take myself out. We'll get images [Sunday] and find out what's going on."
It was the 28th appearance this season for Floyd, who used to be a starter for the White Sox. He's 2-4 with a 4.06 ERA.
The Blue Jays are already shorthanded in terms of veteran relievers with left-handers Brett Cecil and Franklin Morales on Minor League rehab stints while working their way back from injuries.
Asked if Floyd would need to be put on the 15-day disabled list, manager John Gibbons indicated that might be an option they exercise because of the current situation with the bullpen.
"He felt some tightness in his right shoulder, so we took him out and he'll get some more tests," Gibbons said. "I don't think we can afford to wait very long, that's for sure. It could be something."
Brian Hedger is a contributor to MLB.com based in Chicago. This story was not subject to the approval of Major League Baseball or its clubs.