The Mail on Sunday says his two Stamford Bridge favourites have been made aware that their former manager will come calling wherever he ends up.
The England midfielder's current deal has 18 months to run.
A source close to the Chelsea camp said last night: "Those two players are like Jose's blood brothers. They know he will never forget about them."
Mourinho signed a confidentiality clause when he left Chelsea by mutual consent a month ago but felt bitterly let down by owner Roman Abramovich and his cohorts.
And he knows his special relationship with Drogba and Lampard will cause the club a lot of anxiety.
The Portuguese manager has made it clear he would ideally like to return to the day-to-day running of club management, although he is prepared to be patient until the right vacancy comes along.