After missing 18 games with left elbow stiffness, A's manager Bob Geren announced that Braden will be ready to face the Red Sox.
"Unless there's a setback, he's pitching Tuesday," Geren said. "I don't anticipate a setback. His big test was his rehab start. He's thrown twice since that game and he's felt great both times."
Braden is 4-7 with a 3.83 ERA this season through 15 starts.
A's starter Brett Anderson's rehab has been moved to Triple-A Sacramento and he will start Tuesday.