Morata has struggled since joining Chelsea for £65million from AC Milan in the summer of 2017.
The Spaniard has scored just seven goals this season, of which five have come in the Premier League.
Chelsea have long been linked with AC Milan forward Gonzalo Higuain, with boss Maurizio Sarri keen to sign the Argentinian.
And the Sun report that a deal is close which will see the two strikers switch clubs.
It’s claimed that it will just be a loan switch for the pair with Higuain actually a Juventus player.
It means Juve will need to rubber-stamp the deal with the Turin outfit set to add the option of making Higuain’s move to Chelsea permanent in the summer.
Chelsea are in desperate need of a striker with Morata and Olivier Giroud both struggling.
Sarri was forced to play Eden Hazard up front recently and has made it clear to the club he wants to strengthen his attacking options.