The Portuguese won three Premier League titles in two successful spells in charge of Chelsea, but has lost all three of his previous visits to Stamford Bridge as United manager without even scoring a goal, AFP reported.
And while Mourinho claimed that the fixture is now just like any other as far as he is concerned, he also conceded that he would not celebrate should United break that run to ease the mounting pressure on its manager.
"For me, it is another game," said Mourinho. "Would I celebrate like crazy my team’s goal at Stamford Bridge or my team’s victory at Stamford Bridge? I don't think so.
"I think I would try to control myself and to respect the stadium and the supporters that were my supporters and stadium for many years."
Mourinho clashed with former Chelsea boss Antonio Conte when he claimed the Italian had showed a lack of respect for whipping the home fans into a frenzy during a 4-0 thrashing of United in 2016.
The visitor is desperately in need of a win this weekend as it already trails the Premier League leader Manchester City, Chelsea and Liverpool by seven points after just eight games.
"I want to do well for my team, players, support. I am 100 percent Manchester United tomorrow – no more space for anything other than respect for the stadium and the fans," added Mourinho.
Mourinho’s promise to control his emotions comes at the end of a week in which he has been charged by the FA following comments he made toward a TV camera after his team’s dramatic 3-2 win over Newcastle before the international break.
It is understood the United manager used "abusive, insulting or improper language" in his native tongue.
United is the strongest team in the Premier League on a player-by-player basis, according to Chelsea head coach Maurizio Sarri.
The Italian's comments may come as a surprise to some given the Red Devils place in the table, FourFourTwo reported.
So indifferent has United's form been in 2018-19 there had even been speculation Mourinho could lose his job at Old Trafford, but Sarri is convinced this weekend's opponent is the best in the division.
"They are a strong team, maybe that player by player they are the best in Premier League," Sarri told a media conference.
"At the moment City is better as a team, but player-by-player they [United] are very strong."
Sarri also had praise for his counterpart Mourinho, saying, "We are talking about a coach that has won everything, everywhere, so I think you have to respect him.
"I think that I have to respect him, and I think you [the media] all have to respect him.
"I think that he is a very good coach, one of the best in the world."