The Portuguese's second spell as Blues boss begins at home to Hull on Sunday with his side many people's favourites for the Barclays Premier League title.
Mourinho plans to develop the existing talent in the first-team squad, on the periphery and in the academy and stay at Stamford Bridge in the long term.
But the former Porto, Inter Milan and Real Madrid boss will not hang around if success does not follow.
"I'm not the kind of person to be at the same club three, four years without winning a trophy," he said.
"In this case, I don't need the club to say 'we're not happy with you, goodbye'.
"I will be the first one to say: 'I gave everything I could, but I didn't succeed, so let's go and try a different thing'."
Mourinho added: "Of course it's about winning trophies. My DNA didn't change, my nature didn't change."
The Portuguese does not anticipate such a scenario will unfold at a club where he enjoys his relationship with the Chelsea hierarchy, including owner Roman Abramovich.
"My feeling is when you work well and with big empathy - and in this club you have big empathy in between the different sectors of the club - I think the trophies will arrive naturally without obsession," he added.
Source: PA
Source: PA