Jenkins sparked a 16-3 run for the Commodores (2-0) on Thursday that sends them into the next round against West Virginia. The three-day tournament ends Sunday.
Jenkins kept Vanderbilt's hopes of playing for the title alive with a tying 3-pointer, then a jumper for a 48-46 lead with 5:45 left. Steve Tchiengang hit a 3-pointer for a 54-48 lead and the Commodores completely put away Nebraska (2-1).
Brandon Ubel led Nebraska with 10 points. The Huskers shot 6 for 21 from the field in the second half.