Begovic has established himself as one of the leading goalkeepers in the Premier League with the Britannia Stadium outfit.
The Bosnian international said: "There is no truth as far as I'm aware. I've not had contact with either club.
"From my point of view it's flattering to hear those words - two of the biggest clubs in the world - but I'm just enjoying playing my football here.
"I've enjoyed my time here and don't want that to change but everyone has ambitions to go as far in the game as possible but there's been no contact."
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