The Serie A powerhouse failed to sign the prolific striker in the summer, but is preparing another move for the forward come January.
The Serie A champion already attempted to lure the Spain international to Turin in the summer transfer window, but Athletic refused to let go of the 27-year-old earlier this year.
The Bianconeri are hopeful that the Basque side is willing to cash in on Llorente now, though, as the striker remains reluctant to sign a new deal, and could leave the club on a free transfer at the end of the season.
Llorente has mainly been warming the bench at San Mames ever since he announced his desire to leave at the end of the 2012-13 campaign, and he is desperate to leave sooner rather than later in order to get his career back on track.
The potential arrival of Llorente at Juventus Stadium effectively means the end of Alessandro Matri or Nicklas Bendtner's spell with the Old Lady.
Juve is ready to part company with one of the two once it has secured the services of a new striker, and general director Giuseppe Marotta has scheduled meetings with the agents of both players next week to discuss their futures at the club.
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