Harrison finished with a season-high 33 points, shooting 10 of 14 from the field, including 6 of 8 3-pointers, and 7 of 7 at the foul line to go with 10 rebounds.
Jamee Crockett broke a 4 1/2-minute scoring drought for DePaul (12-14, 6-7) with a fast-break layup at 2:23 left. The Blue Demons went to full-court pressure and forced a couple of turnovers to score six unanswered points, closing to 78-73. The rally ended when Pointer leapt to swat away Tommy Hamilton's dunk attempt.
Hamilton and Billy Garrett scored 18 each for DePaul.
Jordan hit a pair of free throws and Harrison dunked as the Red Storm reasserted control.