Brimah was on the Huskies' 2013–14 NCAA Championship team. In the first round of the tournament vs St. Joe's, UConn trailed 67-70 with 39 seconds remaining when Brimah converted a 3 point play to send the game to overtime, where UConn ultimately prevailed. Brimah's play was cited as a turning point in UConn's title run.
On December 15, 2014, he scored 40 points in a game against Coppin State, becoming the 11th Husky to do so. Brimah's 13-13 shooting led Connecticut to a 106-85 victory. At the conclusion of the season he was named honorable mention all conference.
In his career at UConn, Brimah averaged 6.7 points and 4.5 rebounds.
Austin Spurs (2017—present)
After going undrafted in 2017 NBA Draft, Brimah signed with the Chicago Bulls to play in the 2017 Summer League. On September 25, 2017, Brimah was included in the training camp roster of the San Antonio Spurs. He was later on waived on October 12, 2017. On November 2, 2017, Brimah was included in the 2017–18 opening night roster for Austin Spurs.