Baz was promoted to Triple-A Durham on Monday, Neil Solondz of the Rays Radio Network reports.
Baz began the season with Double-A Montgomery and was dominant with a 2.48 ERA, 0.75 WHIP and 49:2 K:BB in 32.2 innings across seven starts. The right-hander also impressed during spring training and incorporated a changeup into his arsenal. He's slated to make his Triple-A debut Wednesday.