As a junior, Brockington averaged 28.5 points per game and earned Philadelphia city Player of the Year honors.
He broke his left wrist during a recreation league game on September 12, 1993, forcing him to miss most of his senior season.
While playing in the Sonny Hill League, Brockington was noticed by former Coppin State assistant Nate Blackwell, who recommended him to coach Fang Mitchell.
He contemplated leaving Coppin State to find work in Philadelphia, but ultimately remained at the college.
In one of the biggest upsets in tournament history, 15th seeded Coppin State defeated second-seeded South Carolina 78–65 behind 20 points from Brockington.