The veteran Dutchman, who was impressed during a prolonged spell in the City line-up, received his fifth booking against Newcastle and must serve a one-game ban.
The 1-1 draw was the 34-year-old's 20th successive start in the Premiership and his absence will leave the Blues short of midfield bite with Claudio Reyna unlikely to be ready in time, despite being set to return to training.
Steve McManaman and Antoine Sibierski are the most likely to deputise for Bosvelt.
Stephen Jordan and Joey Barton are both a booking away from a suspension of their own.