Bradley is scheduled to start Friday's home game against the Mariners.
In his first big-league start since July 29 on Sunday, Bradley turned in uneven results in a no-decision at Cleveland. He struck out seven and allowed just one earned run on three hits over five innings, but he issued five free passes and threw two wild pitches. Despite his poor efficiency, Bradley will get at least one more turn through the rotation, as the Rays are short on healthy starting options.