Speedman was born in London, to Scottish parents Mary (Campbell), a primary school Teacher and champion Runner, and Roy Speedman (1944–1999), a department store buyer. His sister, Tracey, died from cancer on February 8, 2016. At the age of four, he and his family moved to Toronto, Ontario. He was a competitive Swimmer who attended Earl Haig Secondary School's now defunct gifted athlete program. As a member of the Canadian Junior National Swim Team, Speedman placed ninth at the 1992 Olympic trials. Suffering a neck injury soon after, he was forced to leave the sport. To find a new focus outside of athletics, Speedman became interested in acting. He went on to attend the University of Toronto and York University to study his craft.

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