Real sold the 22-year-old striker to the the Italian giants last summer for 20million euro (??14.7million) but have the option to buy him back for a set fee of 30million euro (??22.1million) this summer.
Morata scored twice to give Juve a 3-2 aggregate win over Real in their two-leg Champions League semi-final last month.
Reports in the Spanish media claim new Real coach Rafa Benitez is keen to have Morata on his roster for the 2015-16 season but the player has told Spanish radio station Cadena Ser he is not looking to leave Juve any time soon.
Morata said: “No one has said anything to me. It doesn’t depend on me but on a lot of people.
“This has been a beautiful year. I still have a lot to give at Juventus. I’m very happy at Juve.”
Morata, a target for Arsenal last summer, has enjoyed an impressive debut season in Serie A.
He scored eight goals and set up five more in 29 league appearances to help Juve clinch their fourth straight Scudetto.
Juve also clinched the Coppa Italia this season to win the domestic double for the first time since 1995.
The Spaniard was also prolific in the Champions League, scoring five goals in 12 appearances in the competition, as Juve reached the Europe final for the first time since 2003.
Morata scored in Saturday’s final but Juve fell 3-1 against Barcelona in Berlin.
“My season would have been better had we won the Champions League,” he said. “It has been a difficult few days.
“To lose a Champions League final is a big loss but I believe that I have personally gained a lot.
“I’m sure this will be a lesson and you realise that things hurt a lot when you are on the losing side.
“I didn’t exchange the jersey with anyone after the final.
“I didn’t want to hold on to any memento of that game.
“I haven’t even kept the medal, I gave it away to a friend of mine.”