The 21-year-old midfielder has long been liked with a move to the Premier League side.
Douglas Costa's agent, Cesar Bottega, has confirmed that Tottenham boss Andre Villas-Boas is a fan of his client.
He told calciomercato.it: "Villas-Boas appreciates Douglas Costa's qualities, although we have not received any official offer."
Fulham have also been linked with a move for the young midfielder.
The agent added: "The club is not a great possibility economically, given we know the player's evaluation is around €18million (£14.3m)."
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