Jesse had a four-year standout career at McMaster where he won the Hec Crighton Trophy in 2004 and was invited to the East-West Shrine Game. He left McMaster as OUA's all-time leading rusher and third in CIS history with 4138 yards.
Jesse was selected by the Hamilton Tiger-Cats in the first round (sixth overall) of the 2005 CFL Canadian Draft. He was signed as an undrafted free agent by the Seattle Seahawks in 2005, but was released and joined Hamilton for the remainder of the season. In January 2006, he signed with the Washington Redskins and returned to Hamilton again after he was released. Over four years with the 'Cats he has accumulated 1797 yards on 285 carries and nine touchdowns and 49 receptions for 630 yards and two touchdowns. Jesse has won CFL Player of the Week Awards six times in his career and the Player of the Month award once (July 2007). He was Hamilton's nominee for the CFL Most Outstanding Rookie Award in 2005.
Jesse is now focused on powering the Canada 1 two- and four-man bobsleighs, piloted by Lyndon Rush, to the podium in Sochi 2014 Winter Olympics. Jesse and Lyndon teamed up to win the silver medal at the 2012 World Championships in addition to winning one gold and one silver in two-man action on the World Cup. Team Rush also won one bronze medal in four-man racing last year.