The Pride (17-9, 11-4 Colonial Athletic Association) led 53-42 with less than 5 1/2 minutes remaining before an 11-2 run, capped by a layup from Jamelle Hagins, pulled the Fightin’ Blue Hens within two, 55-53, with 2:45 to go.
Jenkins scored the final six points for Hofstra, making 4 of 4 from the free-throw line in the final 16 seconds.
Delaware (11-14, 6-9), which trailed 31-20 at halftime and 43-30 with 13:44 left to play, never led and lost to Hofstra for the fifth straight time.
Devon Saddler scored 25 points and was the only player in double figures for Delaware, which has lost five straight overall.
Mike Moore added 17 points, Greg Washington 11 and David Imes grabbed 12 rebounds for the Pride, who remain alive for a first-round bye in the conference tournament.