The Daily Star reports that Chelsea could make a move for Llorente if Michy Batshuayi leaves the club.
Chelsea are considering whether to send Batshuayi out on loan and he is reported to be a target for both West Ham and Crystal Palace.
Llorente – who has scored six goals since joining in the summer – himself said that he knew nothing about the move earlier in the week when he told a Spanish news agency “The truth is that I don’t know anything about it.
‘“Now I am focused exclusively on Swansea, in the complicated situation that we have ahead.
“My experience with Conte at Juve was fantastic.
“He is the best coach I have ever had in my career and I wish him the best.
“I was sure that when he arrived to the Premier League he would do well because he is a winner and he works very well.â€
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