The points were a career high for Diop, who also had a career-best eight rebounds.
Gerel Simmons led Brevard (1-6) with 18 points on 5-of-9 shooting from the field and a 7 of 8 performance from the foul line. Simmons was fresh off a 22-point performance against Mars Hill that included a buzzer-beating game-winner.
Brevard jumped to a 13-4 lead as Winthrop shot 2 of 12 to start the game. The Eagles then went on a 12-4 run, capped by a three-point play by Gamble.
Winthrop led 35-31 at halftime then shot 61.5 percent (16 of 26) in the second half to earn the 23-point win.
There's nothing to suggest the Jayhawks won't end up atop the Big 12 for a 13th season in a row. But what about a return to the Final Four?
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.