A three-time Premier League victor across two spells at Chelsea, Mourinho suggested he has 10 years left in the game when pondering his long-term future.
Lampard, however, who spent 13 years as a player at Stamford Bridge and now in his first season as the team's head coach, categorically dismissed ever moving to Tottenham in the future.
Mourinho took the Spurs hot seat after Mauricio Pochettino was relieved of his duties following a poor start to the season.
"If I could do a Mauricio, five-and-a-half years, it would be wonderful".
Tottenham were known for playing it safe on the transfer front during Mauricio Pochettino's time at the club, with many having predicted that such a stance moving forward would result in tension between those in charge in north London and their new manager.
This was a more introspective Mourinho, reprising the charm seen at Chelsea (twice), Real Madrid and Manchester United before he grew irritated with the club and too often his own players. I tried to buy some for different clubs and some I didn't even try because you know how hard it was'. The first one was from [United managing director] Richard Arnold.
Azpilicueta was a firm favourite during Mourinho's time at Stamford Bridge.
"Yes, I think we will get on well", he added.
"You never lose your DNA". But I realize during my career I made mistakes but I won't make the same mistakes. It was one of the most important reasons I accepted.
"These are two characters, I do not think not that it will work very well (laughs) but they have reached an agreement so good..." The club's last trophy came through the 2008 League Cup and the championship hasn't been won since 1961.