Tarasenko will be re-evaluated in four weeks.
Tarasenko, 27, appeared in 76 regular-season games in 2018-19. The 6-foot, 225-pound forward collected 68 points overall, including 33 goals for his fifth consecutive 30-goal season.
During the postseason, Tarasenko posted 11 goals and 17 points in 26 games, helping the Blues capture their first Stanley Cup championship.