Although Real are seven points clear at the top of the Primera Division, Mourinho's position is by no means secure with controversy never far away ever since his move from Inter Milan in May 2010.
The 49-year-old has not managed to break Barcelona's dominance in matches between the two rivals while he has attracted negative headlines for a number of unsavoury episodes.
Last weekend he was booed and whistled by some Real fans responding to others chanting his name although he professed to be unconcerned.
Last month Real president Florentino Perez insisted the Portuguese was the man to usurp Barca, saying: "Signing Jose Mourinho has been my best decision as president of Real Madrid."
Over Christmas Mourinho reiterated his desire to return to England "in a couple of years" - although he later clarified his comments, explaining he had not literally meant two years, but a few.
He insisted he wanted to see the fruit of his labour at the Bernabeu, saying: "I don't see the moment when I'm going to leave nor do I want to leave."
However, reports are claiming he will choose to leave Real and return England once the current season is over.
Mourinho spent a little over three years at Chelsea from June 2004, twice winning the league and league cup as well as the FA Cup before his sudden exit in September 2007.