Mourinho believes he will be considered for the job when Sir Alex Ferguson retires.
Inter Milan will face United in the Champions League this week.
Mourinho told News of the World: “I have big jobs left in me that is for sure — but I can’t commit to which ones.
“If you want me to rule out ever being Manchester United manager I can’t. Special clubs need special managers so in theory it could work, but nobody knows what the future is in football.
“The England national team wanted me as coach and that is the biggest job in England, so I am sure when Sir Alex retires they will look at the best managers in the world and I certainly fall into that category.
“How much time I can’t say, Sir Alex doesn’t look like he is ready to stop. But when you are managing a winning team you don’t want to stop — and if you have health then there is no reason to.”