The Wolverines (17-7, 7-4) haven't won or lost consecutive games in nearly a month.
Green played, as he promised, with a sprained left knee and the senior had the best game of his career in the series.
Michigan's Tim Hardaway Jr. missed his first six shots and had a season-low four points. Teammate Trey Burke had made only one shot before his 3-pointer just before halftime pulled the Wolverines within eight points. He finished with 11 points.