The 33-year-old would be interested in a chance to rejoin former side Athletic Bilbao, according to the Mirror.
Llorente has struggled for minutes since joining Spurs from Swansea and is interested in a homecoming to the club where he spent 12 years.
He said: “Athletic Club are my home and if they make an offer, a return could happen.
“I enjoyed many wonderful moments at the club that I will never forget and Athletic will always hold a special place in my heart.
“If they do make me a proposal to come back, then I would have to think about it and yes, maybe it could happen.”
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