VMI trailed 52-48 with 17:00 left in the second half when Austin Hamilton scored on a layup. But the Keydets regained the lead and never fell behind again after scoring six straight points to pull ahead by two points.
VMI took a 74-65 lead with 7:09 remaining in the game on two free throws by Covington, who went 6 of 7 from the line. The Phoenix (4-2) cut VMI's lead to four points with just over five minutes left in the game, but was unable to pull closer.
Jack Isenbarger led Elon with 25 points.
Mike Brey is looking at former Notre Dame players to fill two assistant jobs that have opened up with the departures of Martin Ingelsby and Anthony Solomon.
Purdue's 2016-17 prospects got a jolt Wednesday when forward Caleb Swanigan announced he will return for his sophomore season.
Clemson's Jaron Blossomgame says he is withdrawing from the NBA draft and returning to school for a final season.