Jaspers was drafted 71st overall by the Phoenix Coyotes in the 1999 NHL Entry Draft. He was drafted from the Sudbury Wolves of the Ontario Hockey League. Jaspers made his professional start in the 2001–02 season with the Coyotes affiliate the Springfield Falcons of the American Hockey League. Jaspers made his National Hockey League (NHL) start in the same season, after he received his first NHL assignment on January 20, 2002.