The 23-year-old joined Real from Sevilla in 2005 and has become a key player at the Bernabeu.
Ramos is now keen to extend his contract with Los Blancos.
“My intention is to play for Real until I retire,” he said.
“I would happily sign a deal without a date on it because my dream was always to play for this club.
“I hope to go down in Real history, with many titles to my name, and I believe that is possible.”