Green Bay (15-3, 5-0) won its 10th consecutive game, battling back from a second-half deficit to edge UIC (5-14, 0-5).
Sykes spurred a late charge for Green Bay, beginning with a dunk at the 2:38 mark to tie the game at 63. Sykes then hit a 3-pointer to give the Phoenix a 66-63 lead with 1:51 left.
The Flames had a chance to tie the game down 67-64 with 11 seconds remaining, but turned the ball over and Sykes finished with a fast break dunk on the other end to secure the win.
Brown scored 23 for the Phoenix and Sykes had 21.
ESPN's Dan Dakich joins The Paul Finebaum Show to discuss the SEC's presence in the NBA Draft.
Ted Kapita was the top-rated recruit from West Virginia in the class of 2015 and recently played at DME Academy in Florida.
With the Suns drafting Tyler Ulis, they now have five guards on their roster who attended Kentucky.