Liverpool and Manchester United are both reported to be keeping tabs on the Bosnia shot-stopper, who has impressed for Stoke this season.
Begovic is flattered by the speculation but the 25-year-old claims he is happy with life at Stoke.
"As far as I know it's all speculation. It's always nice when the biggest teams in the world are looking at you," Begovic told the Stoke Sentinel.
"It's a compliment, but it doesn't mean anything.
"We keep our feet on the ground here and the manager wouldn't let that change.
"I have three-and-a-half years on my contract and I am concentrating on playing and staying in the team and trying to help the team be successful.
"I am happy here so there are no issues with that."