Kevan Brown joined Southampton as a trainee in 1982 after signing Associate School Boy Forms in 1979. He then signed as a professional in July 1984. He remained at The Dell until the spring of 1987, without breaking into the first team, although he made over 120 appearances for the reserves.
In February 1987, he went on loan to Brighton & Hove Albion, with the deal being made permanent the following month with Brighton paying £10000 for his signature. After a two seasons at Brighton and helping them to promotion back to the Second Division in November 1988 he transferred to Aldershot, where he was to remain for four seasons, making 175 senior appearances. Described as “a talented right back”, Kevan made his debut for Aldershot in a 1–0 victory over Sheffield United.
Kevan then joined Woking in the Football Conference whom he helped win the FA Trophy in 1994, 1995 and 1997.