Mobley converted a three-point play to put Central Connecticut up three with 29 seconds left in overtime. Phil Gaetano missed a last-second heave as the Blue Devils held on.
Cane Broom had 17 points, Evan Keley 14 and De'von Barnett 13 for the Pioneers (13-16, 7-9). Gaetano added 12 points and 11 assists. Sacred Heart is 2-2 in overtime games this season.
After Broom split a pair of free throws with seven seconds left in regulation to tie the game at 66, Mobley missed a 3-pointer to send the game into overtime.