Jackson will make his Triple-A debut for Oklahoma City in Round Rock on Tuesday.
The right-hander was impressive at Double-A Tulsa this year, earning his promotion with a 3.27 ERA, 1.05 WHIP and 75:20 K:BB over 63.1 innings. Jackson is unlikely to see the majors this season, given he's about to receive his first taste of Triple-A, but it remains a possibility if he continues to pitch well.