 Leverock played with the Bermudian cricket team in their first ever One Day International when they played Canada on 17 May 2006.Leverock claimed one of Canada's wickets as Bermuda won the game by three wickets under the Duckworth-Lewis method.He has since gone onto play for Bermuda in 11 ODIs, and picked up the first five wicket haul by a Bermudian bowler in ODIs, when he took 5/53 against Kenya which he achieved by opening the bowling, no mean feat for a spin bowler.