The 28-year-old Pole, ranked world No. 31 by the Association of Tennis Professionals (ATP), dispatched Rinderknech 6-4, 6-1 in the second round on Wednesday.
The sixth-seeded Polish player will now take on American top-seed Taylor Fritz for a place in the semifinals.
Hurkacz is playing for his eighth career singles title in Geneva.
The clay-court tournament runs until Saturday.
(gs)
Source: PAP