Morrison's collegiate career consisted of four years at Colorado College playing in the WCHA. He is a current member of the university's Century Club, having tallied more than 100 collegiate points. Morrison was drafted by the Vancouver Canucks in the 1998 NHL Entry Draft in the 3rd round, as the 81st pick overall. At the time, he was the second-highest NHL draft pick in the school's illustrious hockey history. He was also the first African-American hockey player from Los Angeles to be drafted into the NHL.