Marquette, coming off an 82-49 loss at No. 6 Florida on Nov. 29, led the entire game but wasn't able to shake the Badgers until the closing minutes.
Neither team had success with free throws. Marquette missed 10 of 17 and Wisconsin (6-4) missed 14 of 23.
Marquette dominated down low, outscoring the Badgers 36-10 in the paint. The Golden Eagles contested seemingly every inside shot by Wisconsin and beat the Badgers for the second consecutive year.
adidas Men's Wisconsin Badgers Red Long Sleeve Shooter ShirtPrice: $47.99 Shop
Mississippi State freshman guard Malik Newman will withdraw from the NBA draft, but sources told ESPN he might explore other opportunities besides returning to Mississippi State.
Seton Hall sophomore Isaiah Whitehead will stay in the NBA draft and not return for his junior season.
Washington State's trio of Josh Hawkinson, Conor Clifford and Ike Iroegbu have withdrawn from the NBA draft and will play their senior season with the Cougars.