General manager Ben Cherington said Monday that the injury should "heal on its own and activity to tolerance."
Pedroia suffered the injury while getting caught stealing on Sunday in Baltimore. He didn't play on Monday. He was down to bat second and play second base on Tuesday.
"He couldn't swing before the game," manager Bobby Valentine said Monday. "We'll see how he is tomorrow. No one goes to the post like Dustin. If he's able to play, I bet he'll be in there tomorrow."
Though Pedroia was on the disabled list from July 4-18 with a right thumb injury, he has been one of the few Boston players to be a mainstay in the lineup for the majority of the season.
In 139 games, Pedroia is hitting .288 with 15 homers, 64 RBIs and a .344 on-base percentage. He has stolen 19 bases in 25 attempts while playing consistently excellent defense.
The Red Sox were also without Jacoby Ellsbury, who was getting a rest, in Monday's 10-2 loss to the Yankees. Ellsbury had been out for six games with an undisclosed injury before returning on Saturday and Sunday.