Cabrera started at designated hitter in Sunday's game against Minnesota. But he left in the seventh inning because of the same soreness.
The injury doesn't appear to be serious, Cleveland manager Manny Acta said, but the club will approach the situation cautiously.
"He had X-rays [on Sunday] and got checked by their [the Twins] doctor. Everything looks normal," Acta said. "It's something that he had last week and it bothered him [Sunday] swinging the bat."
Cabrera originally experienced the soreness in batting practice prior to the team's game against the Rangers on Sept. 8 and was scratched from the lineup as a result.
The All-Star shortstop is hitting .267 with 14 home runs and 56 RBIs in 128 games.
"We're going to give him a day and wait and see," Acta said. "We're not going to put him out there until he's ready to play."