The Portuguese coach has been heavily linked with a return to Chelsea or Inter Milan, while Manchester City are also reportedly monitoring his situation in the Spanish capital.
However, the 49-year-old is adamant that there is "no reason" for him to vacate his role at the Bernabeu.
"I have a contract and there is no reason why I wouldn't stay," he told a press conference. "I will have time to talk with the club and with the players after the last game of the season."
Mourinho took charge of Los Blancos in the summer of 2010.