Weeks suffered the injury while stealing third base in the fifth inning Tuesday, and "felt it a little over the course of the game," said manager Bob Melvin.
"You could see when he was running to first the last time out, he was protecting it a bit," Melvin said. "He can play, but with the day off tomorrow, we're probably better served to give him these two days."
Melvin deemed Weeks available if necessary Wednesday, but either way, he was confident his second baseman will be back in the lineup for Friday's opener vs. the Rays.
"It's a physical decision," Melvin said. "I don't want to mess around with that, for a guy that uses his legs in the fashion he does."
Eric Sogard received the start at second base, with Coco Crisp batting in Weeks' regular leadoff spot for just the second time this season.