Robinson aggravated the ulnar nerve in his right elbow during the second quarter against Nebraska on Saturday and did not return to the game. Robinson was unable to grip a football, making him unavailable.
Hoke said if Michigan played Monday, Robinson would be close to being able to play.
"He should be fine," Hoke said.
Michigan is looking into providing Robinson with a protective sleeve to wear on the elbow.
Hoke said Robinson will not play if he is unable to practice, but he anticipates him being able to practice the rest of this week in preparation for the Golden Gophers.
Robinson has completed 89 of 166 passes for 1,319 yards, nine touchdowns and nine interceptions this season along with rushing for 946 yards.