Despite Manchester United and Liverpool reportedly being interested in the Bosnian goalkeeper, he insists that his immediate future lies at the Britannia Stadium.
"I am happy to be here and I am happy to stay here. I am looking forward to reporting back in pre-season, meeting the new manager and staff and cracking on with the new season," he told the Stoke Sentinel.
"The most important thing is I am at a club where I am settled and I feel comfortable. Everyone has been really good to me and the chairman has been fantastic so I can't really complain."
And Begovic believes that he faces a tough challenge to keep his place in the Stoke side after the arrival of Jack Butland and the continued presence of Thomas Sorenson.
"Jack is a good up and coming keeper and everyone knows about Thomas and the qualities he has," he added.
"We have a strong group of goalkeepers and I am looking forward to being part of it."