He played college football for the Hawaii Warriors and attended Crenshaw High School in South Los Angeles, California.

Elimimian started playing football in the ninth grade at Crenshaw High School in South Los Angeles, California.

Following his collegiate career, Elimimian was signed by the Buffalo Bills of the National Football League and played in two preseason games.

Following two outstanding years in the CFL Elimimian decided to sign a two-year contract with the Minnesota Vikings of the NFL.

[12] Set to become a free agent in February 2017, Elimimian and the Lions agreed to a two-year contract extension on December 21, 2016.

In early September Head Coach Wally Buono revealed that Elimimian would likely miss another four-to-five weeks as he recovered from his wrist surgery.

[15] Elimimian was finally taken off injured reserve on November 6, 2018, prior to the Lions' Eastern Semi-Final playoff game against the Hamilton Tiger-Cats.

[16] Following a number of high-profile free agent signings, headlined by star quarterback Mike Reilly, rumours began to circulate in late April that the BC Lions were planning to release Elimimian after failing to find a viable trade partner.

[21] Elimimian missed the first three games, but proved himself effective by finishing third in defensive tackles with 88, which was good for first in the Western Division, for which he was named a divisional All-Star.

[23] Elimimian was announced as a member of the Canadian Football Hall of Fame 2023 class on March 16, 2023, in his first year of eligibility.

[24] On February 7, 2020, Elimimian was elected President of the Canadian Football League Players' Association, beating out three other candidates.