The Spain international has already been linked with Arsenal, Liverpool, Manchester City and Tottenham and all those clubs will be on high alert after he revealed he is keen to play in England's top flight.
"It is true that we are approaching the date when I can sign for other clubs," Llorente told Revista de La Liga.
"I really like the Premier League and I've mentioned on more than one occasion that it's a league which appeals to me a lot.
"You never know. It's one good option in terms of my future but we'll have to wait until the end of the season to see what happens."