He will be re-evaluated Tuesday and is day-to-day.
Detroit manager Jim Leyland said the Tigers are going to "wait and see" on Cabrera's condition.
"You know what? If he's got to miss a few games, he's got to miss a few games, and we find out how tough we are," Leyland said.
Cabrera, who became baseball's first Triple Crown winner in 45 years last season, has played in 97 of Detroit's 98 games this year.
Cabrera appeared to slow up when he was scoring on a two-run single by Victor Martinez. He came out to play third base in the bottom half of the inning and seemed fine before leaving the field with trainer Kevin Rand after Paul Konerko's one-out fly out to right field.
Cabrera tried to loosen up his side. He wasn't able to do it, so he left the game.
"It [felt] weird," Cabrera said.
Don Kelly replaced Cabrera at third base.
"If Miggy comes out of a game he's definitely in pain, but Miggy's one of those guys, he's tough. He won't be out long," Tigers outfielder Torii Hunter said. "I definitely think if you need to rest him a little bit, a couple days, I guess we have to do that. We need him for the long run. If it takes a couple days for him to get where he needs to be, I think we should do it."
Last year, Cabrera became baseball's first Triple Crown winner since 1967. He is batting a major league-best .358 with 31 home runs and 96 RBIs.
Information from The Associated Press was used in this report.