Kimmani Barrett and Rodney Green scored 13 points each for La Salle (12-10, 3-5 Atlantic 10). Ruben Guillandeaux had 12 points, Darryl Partin scored 11 and Jerrel Williams added eight points and 10 rebounds.
The Bonnies held a 12-point lead with 2:24 remaining, but a 3-pointer by Partin ignited a 10-1 La Salle run that cut the lead to 68-65. The Explorers threatened to take the lead, but a slam-dunk by Nicholson with 36 seconds remaining sealed the Bonnies' victory.