After a spate of recent sackings - with Chelsea's chaotic managerial history under owner Roman Abramovich and recent stuttering form by the Blues considered - Mourinho was at pains to point out he is at Stamford Bridge for the long haul.
The Portuguese is Chelsea's most successful manager after leading the Blues to their first championship in 50 years in 2005 and defending the title a year later, while also winning the FA Cup and two League Cups.
His team from June 2004 to September 2007, when he left the job, formed the bulk of the side which won the long-coveted European Cup in 2012, before Mourinho's return this summer for a second spell in charge.
The self-proclaimed Special One has insisted since his reappointment that the 'project' is one of evolution and that Mourinho's Chelsea Mark II are a team in transition.
The aim, he says, is to replicate the successes of his first spell by building a team to win for some time to come.
"In football nobody is untouchable, but I will not be looking over my shoulder, because I know for which reason I came, I know what kind of job I was asked to do," Mourinho said.
"And to prepare this Chelsea 'new' team - that we expect is Chelsea's new team for about a decade; the same way the other team was a Chelsea team for almost a decade - I don't think Chelsea can have a better manager than I am.
"I think I'm the right person to do the job and a bad result on Monday (at Arsenal) or a bad result on Friday, or Wednesday, doesn't change that perspective."
Mourinho believes in his second season in charge, Chelsea will be vastly improved.
"Next year Chelsea will have a phenomenal team," he added.
"Between the work we are doing and evolution of the players and a couple of clinical signings - two clinical players to complete the puzzle you are building - I think Chelsea next season will have a very good team."
Nevertheless, the Blues are in contention this term and if Mourinho's men win at Premier League leaders Arsenal on Monday, they can at worst take a share of top spot at Christmas.
Mourinho attributes his side's current position to the competitiveness of the Premier League and the fact that Manchester City - his title favourites - are still to fully fire.
"It's the consequence of what this Premier League is at the moment," Mourinho said.
"I hope people understand me in the right way, because I want to be positive and not negative.
"In normal conditions Man City should be far from the others, because the squad, the maturity, the stability of the players, the potential of the striking force, the experience of the players.
"I think they should be normally, because there is a difference (in the squads).
"But the Premier League is being difficult for everybody, also for them.
"In this moment everybody is there. Good fun."