Hill sat out with a lower left leg injury sustained in practice a few days ago but should be ready when Arizona (9-3) plays its Pac-10 Conference opener Jan. 2 at California.
Kellen McCoy had 16 points to lead Weber State (6-7) in the battle of the Wildcats.
Chase Budinger finished with 16 points and 12 rebounds for Arizona, which trailed 36-33 early in the second half.
Budinger had only one field goal before dunking a half-court lob pass from Wise to give Arizona a 58-49 lead with 9:30 remaining.
McCoy's 3-pointer and his short follow-up with 25 seconds brought Weber State within 69-65 before Jamelle Horne hit two free throws to seal Arizona's win.
Nike Men's Arizona Wildcats Blue Basketball Practice ELITE Stripe ShortsShop
Sebastien Bellin's friend Chris Young joins Ryan Smith on Outside the Lines to discuss his friend's bravery, courage and strength after surviving the Brussels bombings in March.
Andrew White III is leaving the Nebraska men's basketball team and will play elsewhere for his final college season.
A cameraman fell down trying to film Ben Simmons at the NBA Draft. Flashing back to his LSU days proves this is nothing new.