"His legs are still barking," White Sox manager Tony La Russa said. "We don't want to push him. If it was October, he'd be in there. It's more preventive, get rid of some of that fatigue and soreness. He's not hurt. He's just sore."
Anderson could return for Monday night's game at Toronto.
"He plays at such a high level," La Russa said. "Talked to the trainer [Saturday] night and said let's just give him another day."
Anderson is hitting .303 with 14 homers and 51 RBIs.
He had a game-tying homer in the ninth inning and a tiebreaking RBI single in the 11th as the White Sox beat the Rays 7-5 on Friday night.