Morata has struggled for opportunities this season, but the Spain Under-21 international has vowed to continue to work hard at the Bernabeu.
"Last season I played 17 games and now I feel more important," Morata told Sportium. "My goal is to keep learning, I am young and I have a long way to go. It is a privilege to share a dressing room with the best players in the world.
"To train every day with them helps you to grow a lot, it's like doing a master's degree at the best club in history. I believe I have responded well whenever I have been called upon."
"To play for Real Madrid it is not enough to just finish well. You have to run a lot, press, look for gaps on the wing and be more complete. I am convinced that I will gradually gain more prominence."
Morata has scored twice for Madrid this season.