The winger made a successful return to Real last season after several years away at Espanyol.
The 25-year-old told AS: "I am not going to move. I am very happy in Madrid, I want to do well and Mourinho believes in me. There are many reasons why I want to continue.
"I have a lot of desire. I want to continue showing my commitment to Madrid, enjoy the minutes and help to win as much as possible."