White Sox manager Robin Ventura said after the game that Pierzynski will also sit on Wednesday.
Pierzynski first mentioned the discomfort after Monday's game.
"He says he did it swinging," Ventura said prior to Tuesday's game with the Minnesota Twins. "He says catching he'd be fine. He feels it a little bit when he swings. Just make sure it doesn't get any worse.
"He's going to take today off, maybe (Wednesday), depends on how he feels."
Pierzynski is hitting .287 with 11 doubles, three triples, 16 home runs and 50 RBIs this season. He's already surpassed his home run (eight) and RBI (48) totals from last season.
Tyler Flowers will start at catcher for the White Sox on Tuesday.