However, the Jayhawks would silence any talk of an upset early against the Red Raiders.
Texas Tech led 18-17 with just over five to play but was outscored 18-3 the rest of the half to trail 35-20 at the break.
Javarez Willis led the team in scoring with 12 but was the only Red Raider in double figures.
Tech's leading scorer Jordan Tolbert was held to four points in the loss.
Billy Gillispie falls to 1-3 against his old boss Bill Self and now prepares to return to his old stomping grounds.
Texas Tech (7-8, 0-3) travels to College State to face Texas A&M on Saturday.