The 27-year-old has been monitored by Liverpool, Manchester City and Arsenal over the past 12 months, but Stoke have yet to receive a concrete offer.
With rumours circulating over Begovic’s future, the Potters boss has quashed speculation by insisting that his star stopper will be staying, and says that he would only be sold to one of the world’s elite clubs.
“We don’t anticipate any movement from our point of view, it’s not a discussion to be had,” the Stoke boss said.
“Begovic will be here and he’ll be our keeper. That’s how I want it to remain to be honest. It’s hands off if anyone comes in.
“His next move won’t be a sideways one to a club on the same level. It will be one of the top clubs in world football.”
With just two years remaining on the Bosnian’s current deal at the Britannia, Hughes says that he wants to begin discussions over a new, improved contract.
He said: “I’d like to nail him down to a new contract, but I’m not sure if there have been any discussions yet.”