The game will be televised on ABC.
Marquette (7-2, 2-0 in Conference USA) beat Cincinnati 47-44 on Wednesday but is 0-2 in nonconference road games this season.
It is the first meeting between the two teams since 1987. North Carolina beat the Golden Eagles 83-74 in that matchup.
Marquette defeated by both Xavier (75-59 on Dec. 16) and Dayton (61-60 on Dec. 30).
The Golden Eagles are led by 5-foot-10 point guard Cordell Henry and 6-5 shooting guard Brian Wardle, both averaging at least 17 points per game.
The Tar Heels (12-2, 3-0 in the ACC) turned a six-point halftime deficit into a 19-point second-half lead against No. 14 Maryland and held on for a 86-83 win Wednesday.
UNC trailed by five against then-
No. 4 Wake Forest on Saturday before winning 70-69 on Brendan Haywood's game-winning shot with 3.3 seconds left.
Joseph Forte averaged 20.5 points in the last two contests to pace the Tar Heels, who seem to have found a reliable point guard in Ronald Curry (11 points, seven assists against Maryland).