Drexel (5-6, 1-1) led by 13 points late in the second half before Hofstra closed within 56-51 on a 3-pointer by Cornelius Vines with 1:15 left. Rodgers answered with a jumper late in the shot clock, and Harris hit two free throws moments later to seal it.
Vines scored all 14 of his points in the second half for Hofstra (9-4, 1-1). Dane Johnson added his fourth career double-double with 10 points and 10 rebounds and Charlie Jenkins scored all 10 of his points in the second half.
Hofstra shot 24 percent from the field in the first half, putting the Pride in a big early hole.