The goalkeeper was injured during the Champions League clash with Atletico Madrid in Spain and has now gone under the knife ahead of the club's final game of the season.
The Czech Republic international sustained a dislocated shoulder in the first leg of the Blues' Champions League semifinal tie against Atletico Madrid, with boss Jose Mourinho forced to use Mark Schwarzer in the final stages of the season.
However, Chelsea has now confirmed that the goalkeeper's surgery was successful and he will continue his rehabilitation throughout preseason.
A post on the club's official Twitter account read: "Petr Cech successfully underwent surgery today following his shoulder dislocation. He will be out for approximately 8 to 10 weeks."
Cech has made 46 appearances in all competitions this season and has been a mainstay of Chelsea's starting XI since joining the club from Rennes in 2004.