Burke scored 19 of his points down the stretch for the Wolverines (23-4, 10-4 Big Ten), who shook off the Illini with a 15-2 run midway through the final frame and remained undefeated at home.
Burke added eight assists en route to becoming the 47th player in Michigan history to record 1,000 points in a career.
Tim Hard away Jr. (13 points, seven rebounds) and Glenn Robinson III (10 points) also reached double figures in the win.
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