Fabinho, who has been used mainly as a defensive midfielder this season but can also play at right-back, has been linked to Manchester United and Manchester City, but Deco has confirmed that the Serie A champions are also in competition for his signature.
"I know that Juventus want Fabinho, so we'll see what happens after the Champions League final," Deco told reporters.
"Clearly he likes the Bianconeri, as Juventus are a big club."
Monaco have already sold Bernardo Silva to Manchester City and speculation continues to swirl around teenage sensation Kylian Mbappe, though Radamel Falcao agreed a contract extension this week.
Fabinho remains contracted at Stade Louis II until 2021.