Morata joined Juventus from Real Madrid in the summer of 2014, but the Spanish giants have a buy-back option included as part of the deal.
Real are able to re-sign Morata next June for €30million (£22m) should they wish to do so, with many people claiming that the Spanish giants made a mistake in selling the forward in the first place.
Real boss Rafa Benitez is understood to be an admirer of Morata and considered making a move to sign the 22-year-old due to the speculation over Karim Benzema's future at the Bernabeu this summer.
Morata helped Juventus win the domestic double and reach the Champions League final last year, and he scored the winning goal in the midweek victory over Manchester City.
Juventus are determined to keep hold of Morata and are planning to hold talks with the player over a new long-term deal in the New Year to tie him down to the Turin club until 2021.
Morata says he is not even considering his future at the moment, though, with the new season just a month old.
“We are in the middle of September, I haven’t even thought about what is going to happen at the end of the season,” Morata told Gazzetta Dello Sport.