As well as the La Liga crown, Mourinho has also won the Copa del Rey in 2011 and the Supercopa this year, with a two-legged victory over Barca, but he feels he is just a small part of the club.
He told Real Madrid TV: "I'm nothing in the history of Madrid, or very little. Just the winner of Liga number 32, and the Copa that hadn't been won for a while and a Supercopa; very little."
For the players though there is a grand expectation and he lionised their Champions League efforts when they came back for a late victory over Manchester City.
For Mourinho "nobility means giving it everything on the pitch", adding: "A Real Madrid player has to die, in a manner of speaking, on the pitch.
"Real Madrid players have to be knackered by the end of the game."