[2] On September 29, 2022, it was announced that Brinkman had signed with the Toronto Argonauts of the Canadian Football League (CFL).

[3][4] He spent time on the team's practice roster before making his professional debut in the final game of the regular season on October 29, 2022, against the Montreal Alouettes, where he recorded two defensive tackles.

[2][5] He did not play in the team's East Final victory, but he did make his post-season debut in the 109th Grey Cup game where he had two defensive tackles.

[2] Brinkman won his first professional championship as the Argonauts defeated the Winnipeg Blue Bombers by a score of 24–23.

[8] He played in all three post-season games, including the 111th Grey Cup where he had two defensive tackles in the Argonauts' 41–24 victory over the Winnipeg Blue Bombers.