The Blues' season concluded with a 3-1 come-from-behind win over Sunderland when Didier Drogba bade farewell, while Petr Cech may have played his final game after 11 years at Stamford Bridge.
The title was won with three matches to spare and there was an air of celebration as the 2004/05 championship-winning team was presented prior to kick-off.
Mourinho was boss then when Chelsea won their first title in 50 years and this season's success ended a five-year wait for the Premier League after winning the Capital One Cup in March.
"This team is just in the beginning," Mourinho said.
"This team won one Capital Cup and one Premier League
They have to win more to be better than the others.
"You can win something in a certain moment of your career and that's it, or during your career you can win on a regular basis.
"That's what makes the difference between somebody that is champion and the champions.
"Let's try to motivate them to go in that direction, because that's what I want for them.
"For me to have here today the champions of 2004/05 and the champions of 2014/15 is an amazing feeling, because I belong to both.
"It would be a dream to be here in 2025 and be with the champions of 2004/05, the champions of 2015 and the champions of 2025
It would be fantastic.
"My future doesn't matter
What matters is Chelsea's future and I'm working for that."
Whether Cech is part of Chelsea's future remains to be seen.
The 33-year-old goalkeeper, displaced this season by Thibaut Courtois after a decade as first choice, could leave after 11 years, although he has one year left on his contract.
Mourinho repeated his wish for Cech to stay, but the decision is likely to be made by owner Roman Abramovich and the board.
Cech's "contribution was decisive", said Mourinho, who is uncertain if Chelsea would have won the title without the goalkeeper.
Asked when the talks regarding the future of Cech - linked with moves to Arsenal, Manchester United, Real Madrid and Paris St Germain, among others - would take place, Mourinho said: "I hope never
But I don't know.
"He was always there for me and for the team
He played lots of important matches for us.
"For me, no problem to have both
I can cope with it.
"But obviously I'm not in control of Petr's decision
I have to wait."
Drogba was a pre-planned substitution, but Chelsea were already behind to Steven Fletcher's header.
A Diego Costa penalty and two goals in the final 20 minutes from Loic Remy saw Chelsea rally to finish with a 15th win from an unbeaten 19 home games this term.
Mourinho has had to say a number of goodbyes - Ashley Cole, Frank Lampard, Michael Essien and Drogba among them - in his second spell as he works towards the future.
Mourinho gave his medal to his daughter Matilde for safe-keeping as his son, the intended recipient was absent.
He held up eight fingers during the presentation, signalling the number of titles won in four countries.
"A lot, eh? Maybe I have no more fingers
Let's go with eight and try nine
I'm almost there," he said.
He was pleased with the performance, in response to Monday's loss at West Brom.
"It was good to see the dynamic back," Mourinho added.
"The big emotion is always when you clinch the title
When you have the cup in your hands and when the players have it, is always a great feeling.
"(After waiting) five years at Stamford Bridge it was time for our supporters to enjoy too."
Sunderland boss Dick Advocaat felt his side did not deserve to lose by a two-goal margin.
"There was no need to lose 3-1 because we had enough opportunities to score," said the Dutchman, who steered Sunderland to safety with Wednesday's point at Arsenal.
"For me it was important to see a team that was free of relegation, fear and that they were not scared to do something."
Source : PA
Source: PA