Bozak, 35, was originally acquired by the Blues on July 1, 2017 as a free agent from Toronto and has played in 764 career NHL games, recording 449 points (167 goals, 282 assists).
Last season, the 6-foot-1, 199-pound forward dressed in 31 regular-season games, posting 17 points (five goals, 12 assists).
Overall, the Regina, Sask. native has spent three seasons with the Blues, totaling 84 points (31 goals, 53 assists) in 170 regular-season games.
Bozak has also played in 40 career playoff games with St. Louis, including 2019, when he played in all 26 playoff games to help the Blues capture the 2019 Stanley Cup Championship.