The coach, who is the only boss to have won the top three leagues in European football, previously dubbed himself the 'Special One' during his stint in charge of Chelsea.
However, the 49-year-old believes that his recent success at Real Madrid should result in a change of nickname.
"Like me or not, I am the only one who won the world's three most important leagues. So, maybe instead of the 'Special One', people should start calling me the 'Only One'," Mourinho told Portuguese television channel SIC.
Mourinho took charge of Los Blancos in 2010.