Originally playing in the seconds for Swan Districts, his long career began at the club in 1954 along with Keith Slater.
In his debut season in the league competition, 1958, Nesbit won the "Rookie of the Year" award.
[5] After having been the chopping block of Western Australian football between 1946 and 1960, Swan Districts entered a period of unprecedented success during the early sixties, which Nesbit was a part of.
Nesbit played in the back pocket of all three premiership sides, and was co-captain of Swan Districts in 1965 and 1966.
Nesbit retired in 1970 after playing 235 games for the club; he was made a life member.