As a member of the Flyers, Allison, Brian Propp, and Bill Barber set a club record for the fastest three goals, scoring in 35 seconds against Quebec on November 7, 1982. Previously, he and Propp combined with Laurie Boschman in Brandon (WHL) to record 220 goals and 276 assists as a line, a junior record.
As the 18th overall selection at the 1979 draft, Allsion was expected to be a franchise player with the Hartford Whalers following his great junior career in which he scored 450 points in his final three seasons. But after one mediocre rookie season, he was no longer in Hartford's plans and less than two years later he was traded to Philadelphia in a ten-player deal featuring lesser lights.
Allison had a career year in 1982-83, scoring 21 goals and registering a +30, but the following year he missed nearly half the season after sliding into a goalpost and breaking his ankle. He was never the same after that, and in 1987 he moved to Switzerland to try to resuscitate his career, playing both in Europe and in the AHL for two years. He retired in 1990.
