Though Wisconsin trailed just 55-51 with nine minutes to go in the final quarter, Michigan managed to maintain its lead and eke out a win.
Michigan, who is 5-4 in true road games this season, will travel to West Lafayette to take on Purdue on Wednesday night.
The Michigan wrestling team (4-4 Big Ten, 8-5 overall) topped Michigan State on Sunday with the help of redshirt freshmen Logan Massa and Myles Amine and senior Brian Murphy.
Michigan trailed the Fighting Illini 40-37 at halftime but went on to outscore Illinois, 26-12, in the third quarter and pull away for a victory.
With their 80-54 victory over Northwestern on Wednesday, the Wolverines are now a perfect 11-0 at home in the 2016-17 season.
The Wolverines unraveled in the final frame, as they were outscored 19-9 en route to an 83-70 defeat.
The Wolverines will need to find ways to replicate their performance from Tuesday against Indiana in tight contests if they plan to reach the NCAA Tournament for the second time in Barnes Arico’s five-year tenure.
The Wolverines rode a double-double performance from sophomore center Hallie Thome to a 78-74 victory over Indiana.
Junior guard Katelynn Flaherty and Ohio State guard Kelsey Mitchell put on a show with 38 and 26 points, respectively, in Michigan's 96-87 loss.
The Wolverines are looking to begin conference play with their first win against Rutgers since it joined the Big Ten.