He made his QPR debut in March 1991 against Tottenham Hotspur and in all played 153 league games for QPR, scoring his only goal for them against Southampton in the Premier League. After QPR's relegation from the Premier League Brevett stayed with the club, later moving to Fulham, a team with which he was able to re-enter England's top league. During his spell at Fulham he scored twice: the winner in a league match against Stoke City in September 1998 and an equaliser against Rochdale in the Football League Cup in September 2001.