The Bosnia international is already one of the Premier League's most sought-after shot-stoppers after proving himself at Portsmouth and Stoke.
The likes of Arsenal and Manchester United have been linked with his services in the past, but no deal has been done.
Speculation is likely to intensify again once the January transfer window opens, with Begovic enjoying another consistent season with the Potters.
Hughes is reluctant to part with the 26-year-old, but acknowledges that his performances for club and country continue to put him in the shop window.
After seeing Begovic star in a goalless draw with West Bromwich Albion on Saturday, Hughes said: "We've got one of the top keepers in Europe.
"When he goes to the World Cup, he might prove he's one of the best in the world.
"I'd like to work with Asmir for many, many seasons because I think he's that good.
"He's had a great week - qualifying for the World Cup and putting in an outstanding performance for us."
Begovic remains tight-lipped on his future, but is delighted to be counting down the days before heading to Brazil for the 2014 World Cup - with Bosnia having topped qualification Group G.
He said: "Weeks like this are what dreams are made of.
"Getting to the World Cup has been a dream of mine - what it meant to us and what it meant to the country was huge.
"A big motivation for us to qualify was to do it for our people back home.
"This season is a big one. It's a big carrot now, going to Brazil. I don't have to be ready yet but I'm doing my work as best as I can."