By this point in his career, knee injuries had made Allison adjust his playing style to be more of a defensive player, often playing killing penalties, and less of an aggressive forward. In spite of this, he still was a strong contributor for the Maple Leafs in the 1986–87 NHL Playoffs. Early in the 1987–88 NHL season Allison was traded to the Los Angeles Kings for Sean McKenna.
By this point in his career, knee injuries forced Allison to adjust his playing style, making him a more defensive player who often took killing penalties and less aggressively played as a forward. Despite these changes, he remained an important contributor for the Maple Leafs during the 1986–87 NHL Playoffs. Early in the 1987–88 season, Allison was traded to the Los Angeles Kings for Sean McKenna.