That was part of a 15-3 spurt the Wolverines used to take command, led by Burke, who became just the seventh sophomore in Michigan history to pass the 1,000-point mark.
"They were smarter and tougher than us in the second half," Illinois coach John Groce said, "and that was the difference in the game."
The Illini made a final push with about 8 minutes to play, drawing within 51-47 on a triple from Tyler Griffey, but Michigan answered quickly with 3-pointers from Burke and Caris LeVert and started to pull away.
"They beat us to loose balls, and I thought they screened better," Groce said. "They had more of a physical disposition than we had in the second half and in this league, that's a recipe for bad stuff."
The Michigan lead stretched to 64-49 on a Burke jumper with just under 4 minutes left, and the Wolverines closed out the win at the foul line, with Burke hitting five free throws in the final minute and a half. Morgan said the win puts the Wolverines back on stride for a strong finish to the regular season.
"It was hard going through that stretch that we've just been through, so it was vital that we get back to playing our way," Morgan said.
The Illini, who own three wins over top 10 teams this season, had opened the game with a quick run ignited by 3-pointers. Illinois was on top 13-5 just 5 minutes in before the Wolverines started to find their stride.
A Burke steal and a fastbreak basket at the 13:35 mark of the half pulled Michigan within four, and when Burke found Jon Horford open inside for a dunk that cut it to 13-11.
Paul, fourth in the Big Ten in scoring, led the Illini on a run that pushed the lead back out to eight with under 9 minutes left in the half. Nnanna Egwu's tip-in made it 21-13.
Michigan used an 8-0 run to tie the game with just under 6 minutes to play in the half -- the first tie since the game's opening moments. Robinson dunked on the break after taking a feed from Hardaway.