Bogaerts, who suffered the injury Sunday in the seventh inning of Boston's 4-2 win against the Chicago Cubs, told manager Alex Cora he was "pretty sore" on Monday. Cora said the team would see how Bogaerts was feeling before determining when he would return to play.
The Red Sox, who won the opener against the Rays 4-0, are trying to extend their five-game home win streak.
Bogaerts is hitting .318. Over his last 10 games, he has gone 8-for-36 with seven walks, six runs and no RBIs.