Allison played parts of two seasons with the Los Angeles Kings where, for a brief time, he teamed with former stars Žigmund Pálffy and Adam Deadmarsh. He has also played for the Boston Bruins and Washington Capitals. His best season was 2000–01 when he had 95 points. Allison has played 552 games in his career, racking up 154 goals and 331 assists for 485 points. He also has 25 points in 25 career playoff games. Allison missed most of the 2002–03 season and all of the following season because of a neck injury and concussion.