Percival has shoulder tendinitis and Kazmir has a quadriceps strain.
Manager Joe Maddon wonders if Percival, who's 39 and gone home to clear his mind, will be back.
"I wouldn't be surprised if he chooses not to come back," Maddon said. "There's only so much you can do when you get to that age, and he's tried everything possible to put himself back together to be, not just functional, but a very big contributor to us. He's just not feeling that he can be that right now."
Kazmir is leading (in a bad way) the majors in pitches per inning (19.2) and he has an ERA of 11.35 in his previous five starts.
Pitching phenom David Price will likely start on Monday in Kazmir's place.