Warren made two free throws with six seconds left for a four-point lead before Dalvin White capped it with his sixth 3-pointer of the game.
Chris Shelton had 13 points for Hampton (6-8, 5-4 Big South Conference). Dajour Dickens added 10 rebounds.
Everette Hammond scored a season-high 21 points for the Spartans (3-10, 3-4). White tied a career high with 20 points. Tommy Bruner had 10 points.
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