Burrell competed in two events at the 1984 Summer Olympics. He represented England and won a bronze medal in the 4 x 100 metres freestyle relay, at the 1978 Commonwealth Games in Edmonton, Alberta, Canada. Four years later, he represented England and won two silver medals in the 4 x 100 and 4 x 200 metres freestyle relays, at the 1982 Commonwealth Games in Brisbane, Queensland, Australia. He also won the 1978 ASA National Championship 100 metres freestyle title.