The Portuguese won the Premier League twice in his first stint as Blues boss and has now returned to west London for a second spell.
The former Inter and Real Madrid coach says that success is vital to him and that he would not be able to stay at Chelsea if he could not secure any silverware.
"Of course, it is about winning trophies. My DNA didn't change, my nature didn't change," he told reporters. "I am not the kind of person to be at the same club for three or four years without winning a trophy.
|11/2||Chelsea are 11/2 with Bet365 to win the FA Cup in 2013-14
The Blues kick off their Premier League season on Sunday against Hull City and Mourinho is hopeful of the match marking the beginning a long-term stay at Stamford Bridge.
"My feeling is the trophies will arrive naturally without obsession, they will arrive naturally, based on the stability because there is big empathy between the different sectors at this club," he added.
"Chelsea need some stability. In this moment, the club is ready for that and I am ready for that.
"When I came the first time, I still had the passion of going around and trying to win other championships and trying to make myself better by going to other football countries but now, I don't see myself in Spain coaching another club and I don't see myself coaching another club in Italy other than Inter.
"I don't see myself in other leagues because I have a connection with Chelsea. I have quite a long contract here and I hope at the end of it we both want to keep together."