The forward is on-loan with Getafe this season, where his form has attracted interest from across Europe.
TMW says Juve are willing to splash out to sign Greenwood outright, knowing his deal will expire at the end of next season.
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Getafe president Angel Torres, however, has stated confidence of keeping hold of the youngster.
"He wants to stay with us another year and we agree," declared Torres. "What I can say is that 90% Greenwood will remain with us also for the 2024/25 season."