The Italian giants hope to land the Portuguese star for £12million and tempt him with a three-year deal on DOUBLE his Old Trafford wages.
Mega-rich Paris Saint-Germain have already had a £10m bid rejected.
A Juve source said: "We are following this one up.
"Nani is an interesting player and figures highly in our future projects."
Should United sell Nani? Can he make a difference at Juve? Give us your shout below...