Reports suggest the 25-year-old Spaniard has been made available by coach Maurizio Sarri and his agents will be in Leicester on Friday for talks.
Having signed his former teammate Gokhan Inler, Lopez would become the second Napoli player to join the Foxes in the current summer window.
The Spaniard, who operates as a defensive midfielder, is well known to Leicester boss Ranieri, who is keen to add a couple of fresh faces ahead of Tuesday's transfer deadline.
Lopez has made one appearance for the Italian outfit this season, winning four tackles and finding success in two headed duels in an assured display.
After Leicester’s flying start to the Premier League campaign, it perhaps comes as little surprise to witness the club’s continued ambition to attract household names from abroad.
Ranieri’s Italian connections have clearly aided the club’s cause in the market this summer, and a spectacular opening to the season will only serve to aid their cause as the window draws to a close.