The operation went "very well", Sir Alex's former club Manchester United said.
The legendary former Manchester United boss was rushed to hospital on Saturday for the emergency procedure and the footballing world has held its breath waiting for good news on his recovery.
Asked if he'd been in contact with Ferguson, Mourinho replied: 'It's private.
"His family asked for privacy and that is what I am going to respect", Mourinho said.
There is yet to be an official update on Sir Alex's condition, however friends close to the global sporting legend delivered positive news and said he has been "sitting up talking and asking about his results".
Queiroz replace departing manager Vicente del Bosque in Real Madrid in the summer of 2003 but returned to United as assistant coach in July 2004.
Mourinho said: "We are positive, we are very, very positive. Everyone thinks it was all this "hairdryer", but the boss enjoys a good time, really enjoys his racing and is good company when you're around him".
Current United defender Jones, one of a handful of players now at United who were signed by Ferguson, agreed, saying: "I know his character".
"We were devastated when I heard the news after the game on Saturday coming back from Leicester", Moyes said at a press conference on Wednesday afternoon.
Mourinho hopes midfielder Marouane Fellaini, who has a muscle injury, will be available for the Watford match but he will be absent at West Ham.
"The most important quality is to be a man, M-A-N, capitals, a proper man and football is not full of them", said Mourinho.
"The club has had a great man for many, many years playing football and now his body says 'it's enough'". So when you find one of them you have to value and you have to keep and in this case is not about me, it is about the club. "And not just football, society is not full of them".
"I've never been coached by him, unfortunately, yet I know well his incomparable legacy on this club, that winning mentality and fighting gen (e) that we must honour in the last three games of the season, especially in the FA Cup final".