They make the trip to Galway to take on defending champions Connacht in the PRO12.
Bowe played the last 20 minutes of Saturday's victory over Ospreys at Kingspan Stadium, and Director of Rugby Les Kiss has rewarded him with a place on the right wing this week.
Charles Piutau and Franco van der Merwe are ruled out following injuries picked up against the Ospreys.
Ruan Pienaar is rested ahead on a busy schedule that will see Ulster play back-to-back European Champions Cup fixtures over the next two weekends.
Connacht have made six changes to the team that secured a bonus-point victory over Edinburgh last weekend.
Caolin Blade, Cian Kelleher and Craig Ronaldson come into the back division while Finlay Bealham, Dave Heffernan, Andrew Browne start in the pack.
