Romine has been out of workouts since Friday, and Girardi said he is doing rehab work and will take his time recovering until he is fully healthy and able to get back on the field.
"We're just making sure that area is very stable. We want that to come back very stable and be very strong before we put him back," Girardi said. "He had an episode last year in August, so we want to just make sure that it's really strong.
"It's a little bit of a setback, there's no doubt about it."
The Yankees look at Romine, who hit .158 in 20 plate appearances over nine games in the Majors last season, as an everday catcher in the future and as a candidate for the backup job this season. Girardi expects Romine to get playing time at the Major League level this season, so this injury should not set him back too far.
"Once he leaves here, I don't want him to have a setback," Girardi said. "I want it to come back, and that's what we told him. We're going to hit it really hard over Spring Training. Our plan is for him to play in Spring Training, but we're going to hit it hard to make sure that we nip this."