The Spain striker revealed ex-Liverpool players Fernando Torres and Xabi Alonso have highly recommended English clubs because of their passionate fans.
Llorente told reporters: “I might end up playing in England, who knows? At the moment I'm at Athletic Bilbao, but who knows later.
“Xabi Alonso and Fernando Torres have told me about the immense respect that the fans have for their players there.”
The Spaniard, who is currently with Spain’s Euro 2012 squad preparing for the nation’s first match on Sunday, has long been linked with a move to Tottenham.
Reports towards the end of May suggested Spurs’ north London rivals Arsenal are also keen on the Bilbao forward.
Barcelona, Bayern Munich, Manchester City and Juventus are four more teams rumoured to be keen on a player capped 20 times for his country heading into the Euros.