The young centre-forward moved to the Azzurri last summer from Udinese, but has struggled for minutes so far this season.
Sky Italia says Forest have approached Napoli about Lucca's situation.
A loan arrangement could suit all parties, with Forest eager to find firepower for the second-half of the season.
Forest have scored just 21 goals in 21 Premier League games this season - the third worst tally - with striker Igor Jesus netting just once in 20 league appearances.
Related：
Udinese
Napoli
Azzurri
Lorenzo Lucca