Wilcox, who had a team-high 21 points, was fouled by Alex Harris, just after Harris made a 3-pointer from the right baseline to tie the game at 72.
Husky guard Andrew Andrews also made three free throws inside of 22 seconds to keep the Huskies (4-3) ahead. He finished with 13 points.
D. J. Seeley scored 24 points for the Titans (3-3).
The Huskies trailed by 14 points at halftime, 43-29.
Colorado State graduate transfer John Gillon has chosen Syracuse, giving the Orange a potential starter at point guard entering the 2016-17 season.
DeSean Murray, who averaged 20.2 points as a sophomore at Presbyterian, will transfer to Auburn to play for coach Bruce Pearl.
Former Kentucky guard Ed Davender, the only Wildcat with at least 1,500 points and 400 assists, has died. He was 49.