The 52-year-old Portuguese is frustrated that phone camera footage of two teenagers following him through west London - something Chelsea described as "overly intrusive" - was widely reported this week.
"You don't get from me good and funny headlines," Mourinho said at his media conference ahead of Saturday's Premier League clash at West Ham.
"I'm going to treat your bosses the same way they treat me
No respect, no respect.
"And I'm not speaking about football
Football I'm ready to accept any kind of criticism, even the stupid ones.
"Private life and stupid things that you bring to light, I don't like it
So we go to a different level of professional relationship."
The footage shows Mourinho being unhappy with the approach of the teenagers.
A Chelsea spokesperson said: "We've noted the two recent stories concerning Jose being filmed on mobile phones.
"While Jose understands the laws pertaining to filming in public places, the two teenagers in question followed him from his home for 20 minutes and constantly interrupted a private phone call, which he and the club believes goes beyond the grounds of reasonable behaviour.
"Jose has always spoken warmly of the public reception he receives in London, but both Jose and the club consider these last two instances as overly intrusive.
"We also note the allegation of intimidation in those stories, which Jose strongly refutes and which his legal representatives will continue to monitor closely."
Source : PA