"We'll wait a couple days before we make a decision on what we're going to do with him," Girardi said of Ellsbury, who is hitting .282/.344/.412 with three homers and nine RBIs in 24 games this season.
Girardi said that the Yankees will try to get through the final two games of the Blue Jays series without Ellsbury, but they would need to make a roster move if he is still unavailable for the series against the Cubs at Wrigley Field, which opens on Friday.
"I think you have to see how available he is as a player going into a National League city," Girardi said. "It's different if you're in an American League city. He's stiff today. So if he hasn't made some improvement and we feel like he's not a complete player, then we've probably got to make a move."
Ellsbury seemed to be shaken up after the catch and lightly played catch with left fielder Brett Gardner during a subsequent pitching change, attempting to loosen up his throwing arm.
"Pretty much my whole left side made contact with the wall," Ellsbury said after Monday's game. "I knew once I jumped for it, I'd be hitting the wall. Just trying to make a play."
Yankees catcher Gary Sanchez was scheduled to begin his Minor League rehabilitation assignment on Tuesday, catching for Triple-A Scranton/Wilkes-Barre in their 7:05 p.m. ET contest at Lehigh Valley. Sanchez, who is recovering from a right biceps strain, is scheduled to catch again on Wednesday and will serve as the RailRiders' DH on Thursday, then could rejoin the active roster on Friday in Chicago.
Bryan Hoch has covered the Yankees for MLB.com since 2007. Follow him on Twitter @bryanhoch, on Facebook and read his MLBlog, Bombers Beat. This story was not subject to the approval of Major League Baseball or its clubs.