[3] At Texas A&M, Britton was a first-team all Southwest Conference player in his senior season in 1979–1980.

[4][5][6] Playing alongside "The Wall" of centers Rudy Woods and Claude Riley, and forwards Vernon Smith (basketball) and Rynn Wright, as well as point guard Dave Goff, Britton's senior team set the school record of 26 victories.

They earned a place in the 1980 NCAA Tournament, beating Bradley[7] and eking out a double-overtime victory against North Carolina before losing in overtime to eventual national champion Louisville.

[8] Britton was named to the All-Midwest Regional Team for his performance in the tournament.

[9] The Dallas Mavericks chose Britton as the 11th pick in the third round of the 1980 NBA draft,[10] but he did not play with the team, joining the Washington Bullets instead.