Damon said he suffered the injury while working out at home on Monday. Head athletic trainer Kevin Rand said that Damon received treatment on Tuesday in Lakeland while the Tigers were on the road.
"He's a lot better today," Rand said. "But it's March 10."
Damon took batting practice on Wednesday morning and fielded ground balls.
"If it was the regular season, I'd be in there," Damon said. "But it's not."
Damon signed as a free agent with the Tigers last month after spending the previous four seasons with the Yankees. He'll have plenty of other chances to face New York, which meets Detroit five more times this Grapefruit League season. For now, Damon is currently on the travel roster for the Tigers' visit on Thursday to face the Phillies in Clearwater, Fla.
Ordonez said he felt his muscle tweak while playing in the outfield at Space Coast Stadium on Tuesday. He isn't scheduled to make Thursday's trip, but he could be back for Friday's home game against the Phillies.
The Tigers received some good news on the injury front Wednesday, when lefty reliever Bobby Seay played catch from 60 feet without trouble. It was his first relatively pain-free throwing session this spring and his first throwing of any kind in at least two weeks.
Seay has been out with tendinitis in his left shoulder and bursitis around the biceps area. He'll stretch out his throwing to get his arm in shape until he's cleared to throw off a mound.
Jason Beck is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.