The procedure is designed to restore the heart's normal rhythm.
Bouwmeester suffered a cardiac episode on the bench during Tuesday night's game against the Anaheim Ducks. The tilt was then postponed.
The Blue will provide an update on Bouwmeester's status early next week.
The 36-year-old blue-liner has played in 1,241 regular-season games during his career, tallying 424 points. He's a member of the Triple Gold Club after winning a Stanley Cup with the Blues last season, an Olympic gold medal with Team Canada in 2014, and World Championship gold medals in both 2003 and 2004.