The ban follows an off-the-ball incident with Norwich striker Marc Libbra during the game against the Canaries at St. Andrew's in December.
The Blues central defender already had a two-game suspension upcoming after reaching ten bookings for the season in Tuesday night's home match with Manchester City.
Purse will now have to serve a three-match ban which will see him miss the games away at Coventry (March 24), the home clash wiith Grimsby Town (March 30) and the away match at Crystal Palace (April 1).