The Norfolk club were reported to have turned down a bid for the English goalkeeper from Jose Mourinho's side, who are looking for back-up to Petr Cech.
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"No [there have not been any bids], and probably if there were I wouldn't say it," he told reporters. "The best way is to conduct business behind closed doors.
"If there has been interest in our players then that is a plus as far as I am concerned because we must be doing something right.
"I think if there is speculation regarding players we want to bring in it indicates we are attempting to do some work - some of those names will come into the public domain, but the majority will not."
Norwich saw their young goalkeeper Jed Steer leave on a free transfer to Aston Villa and while Hughton was disappointed, he is now focused on further signings following the arrival of Nathan Redmond.
"I was sad to see him go," he continued. "We did offer him a contract, but we all know that is the nature of the game.
"You can do your best that you can, but ultimately it is down to the players.
"We won't bring in unless we feel it benefits us. It really is about using the period of time you are allowed in the best way. That means we are allowed until the end of August.
"We have got no particular number on how many more will come in. We are no different to anybody else."