The Rams (19-6, 11-2 Colonial Athletic Association), who have won 10 of their last 11 games, rebounded after being upset by Northeastern 91-80 on Feb. 2.
James Madison would not go away after VCU built an eight-point advantage early in the second half. The Dukes tied the game at 64-64 with 1:58 left to play when Julius Wells knocked down two free throws.
Skeen answered with two free throws and Joey Rodriguez followed with a jumper, putting the Rams ahead by four. James Madison's Devon Moore scored on a layup, but the Dukes (17-8, 7-6) did not come closer after Rodriguez's two free throws.
Denzel Bowles led James Madison with 22 points and nine rebounds, shooting 10 of 16 from the floor. Moore had 13 points.
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Louisville's Chinanu Onuaku, who recently underwent a medical procedure to correct a heart rhythm issue detected during the combine, will keep his name in the NBA draft pool.
Andrew White III will return to the Nebraska men's basketball team next season after removing his name from the NBA draft.
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.