Southern (7-9, 3-0 SWAC) jumped out to an early 16-3 lead as Malcolm Miller hit two 3-pointers and pushed the lead to 22 after a dunk by Miller at the 6:05 mark in the first half.
Terry Rose hit a jumper to open the scoring for Grambling State (1-11, 0-3 SWAC), but the Tigers missed their next seven field goal attempts until Richard Freeman sank a jumper and 3-pointer to make it 16-8.
Forward Kennedy Meeks, who has averaged 9.4 points and 6.5 rebounds at North Carolina, has pulled out of the NBA draft and will return to the Tar Heels.
Cal big man Ivan Rabb could have been selected in the top 10 of the NBA draft. Instead, he's returning to Berkeley to make himself, and the Golden Bears, stronger.
Devin Williams' decision last month to sign with an agent and enter the NBA draft has left West Virginia in a tough spot.