Napoli are reportedly waiting for a definitive answer from Lyon and Maxime Gonalons on Monday.
The negotiations for the defensive midfielder have been going on for months and were already close to completion over the summer.
According to Sky Sport Italia, Napoli have offered €13m and the player is considering a four-year contract worth €1.6m per season.
The club is expected to receive a reply on Monday, by which point they will either close the deal or move on to a different objective.
Think you know your Italian football? Share your knowledge, tips and comments to win cash prizes in OLBG's World Cup tipster competition - £10,000 to be won!