"I have not spoken to anyone from Newcastle, I spoke to my chairman last night and he has had no contact, and I don't think there will be any contact.
"I am in a very strong position here, I have a great relationship with the chairman and the board and that is really important.
"When managers have that relationship it's a big decision to forego that as the relationship is the key to whether we can be successful."
Hughes said Allardyce's departure from Newcastle on Wednesday had come as a shock to him.
He added: "I think it surprised everyone given the length of tenure of Sam's appointment.
"It was not anywhere near long enough in my view to enable him to be successful.
"There is a lot of pressure and expectation with a number of Premier League jobs and certainly Sam paid the price but he's a proven Premier League manager and I am sure a lot of chairmen will be keeping an eye on what will happen to him in the future."