Football journalist Dan Levene believes Chelsea manager Antonio Conte wants to sign Fernando Llorente.
Levene wrote on Twitter that the Spaniard will be Alvaro Morata's backup striker for next season.
It is not the first the Swansea City man has been linked with a move to Stamford Bridge.
The player himself confirmed in May that the Blues made an approach to sign him during last winter's transfer window.
"Conte has known me since we were at Juventus," he is quoted as saying by Football 365.
"Chelsea tried to sign me in winter but Swansea would not let me go. Many things can happen in the summer.
"I have a year of contract and I am very happy. It is logical that offers can come, but we will see. I hope things go well, if I stay or I'm going.
"It was a spectacular year [here at Swansea City]. It was a bit tough at first because things did not start well, but the final was spectacular.
"There were times where the club thought they were going down, but I was able to give almost everything I had and I am very happy."
