The 23-year-old has has scored 17 goals in 24 games for National League leaders Leyton Orient this season.
The Sun says five Premier League clubs are chasing a player who is said to be valued at around £500,000, with the Foxes leading the way.
Bonne is the joint top scorer in the National League this season after scoring 22 in the previous season.
Need a VPN? Or seeking to switch? Then support Tribal Football by clicking here to sign up with our official partners NordVPN. Not only will you receive the best VPN experience, but also great discounts by signing up via Tribal Football. Thanks for your support!