Bubba Parham had 20 points and Keither Smith, who was 4 for 4 from 3-point range, had 18 for the Keydets (5-11, 0-5), who have lost six straight.
A 9-0 surge late in the first half, with Desmond Johnson hitting the go-ahead jumper, helped Western Carolina build a 31-26 lead at the half.
The Keydets kept the pressure on in the second half but each time they get within a possession or two, the Catamounts would get a key bucket. Smith's 3-pointer with 1:36 to play pulled VMI within 62-58 but after that the Keydets had two turnovers and two missed shots.
Jones is a rim protector who will develop under Shaka Smart and the Longhorns.
Mark Schlabach reports the latest on Kansas coaches involved with Adidas in Silvio De Sousa's recruitment.
Text messages presented by defense attorneys on Monday indicated the Kansas coaches were at least aware of former Adidas consultant T.J. Gassnola's involvement in the Jayhawks' recruitment of current player Silvio De Sousa, a native of Angola.