The Spanish champions ask their Portuguese manager to commit to the Bernabeu until 2016.
Real Madrid offer Jose Mourinho a new four-year contract
After ending Barcelona's stranglehold on the major European trophies and forcing Pep Guardiola's exit from the Camp Nou, the Portuguese is considering Real's proposal of a two-season extension until 2016.
Mourinho established himself as the first manager to win League titles in England, Italy and Spain on Wednesday. His radically reorganised Real team have scored a record number of goals and can register an unprecedented total of 100 points in this weekend's final Primera Liga fixture against Mallorca.
The 49 year old's place of employment next season is no longer in question, having reversed his January decision to leave the Bernabeu for a Premier League side and turned down a proposal to return to Chelsea.
Close friends now expect Mourinho to decide on Real's new proposal before beginning his summer holidays.
"Managing Madrid has been and will continue to be the hardest job of my career," said Mourinho in an interview with Spanish newspaper ABC today.
"My goal now is to win Leagues with Real Madrid. And after my time in this house I will work on any of the three major championships.
"But at this moment I have two years left on my contract here and my family and I are pleased to have a stability. Until now we have been unsettled because we've been moving every two or three years. So we're pleased to continue at Real Madrid."
Throughout a period in which proposals were canvassed from English clubs and a new family house purchased in central London in preparation for his return, Mourinho continued to work on preparatory plans for Real's next season.
At present, he is preparing to add two new players to the squad; one a new goalkeeper to work with long-standing first-choice, Iker Casillas.
Mourinho has ruled out the sale or loan of Nuri Sahin, the Turkey international midfielder who has experienced a difficult first season in Spain.
He has also stated that Gonzalo Higuain will not be allowed to leave the squad, signalling that attempts to exchange the unsettled Argentina striker for Sergio Aguero have foundered on Manchester City's refusal to allow their forward to return to the Spanish capital.
"We will make two changes to further enhance the template," said Mourinho. "Players who arrived this season and have suffered with will be more comfortable. And we will improve the infrastructure. In this sense hats off to the president and [general director] Jose Angel Sanchez."