An MRI showed the mild inflammation, but the club wanted to shut Profar down as a precaution. The 19-year-old will come to Texas this week to be evaluated by team physician Dr. Keith Meister.
Profar was just 6-for-38 in 15 games for Licey.
The teenager had a memorable big league debut after getting called up in September, belting a home run in his first major league at-bat. He was the third teenager (since 1876) to hit a homer in his first career big league at-bat and the youngest in American League history to accomplish that feat.
Profar, who also had a go-ahead RBI in his second start, ended up 3-for-17 with two RBIs in limited action in the final month of the season.
General manager Jon Daniels said the team has not made a decision on whether Profar will be slotted as an every-day infielder in 2013.
"We may go that way, but we haven't set that in stone," Daniels said Thursday. "It's still up in the air. It's a possibility. It's something we've talked a decent amount about. Some of that depends on other things we have going on. We do feel he's capable of doing that."
Profar, the club's top prospect, is a name that might be bantered about in the lobby of the Gaylord Opryland Hotel and Convention Center during this week's winter meetings, but unless an incredible offer presents itself, the Rangers aren't likely to deal him.