Although he has made no decisions about whether he would accept a job offer, Mourinho has certainly not ruled out becoming Steve McClaren's successor.
A report in yesterday's press suggested Mourinho was using the FA's interest to land a top job in Spain or Italy.
However, Mourinho's media consultant, Eladio Parames, said: "These are lies; Jose is not waiting for an approach from these clubs.
"Jose has had no approach from any club and no one has contacted Jorge [Mendes]. If there is an approach from the FA, Jose will decide."
A friend of Mourinho said yesterday: "In my opinion if they want him - and I believe they do because there's a lot of pressure from the players and people in general in England - and if they accept his plans, I think he could be England's next boss."