The English outlet has suggested that West Ham were willing to pay £9.5 million for Mendy, adding that the Foxes look set to sign him for £13 million on a four-year deal.
If true, it will come as a big blow to the Hammers but, with N'Golo Kante heavily linked with a move away, Leicester look set to pre-empt his exit.
The Frenchman could be quite a coup, given that he has managed over 100 Ligue 1 appearances for Nice following his arrival in 2013.
He began his career at Monaco but a lack of first-team opportunities saw him join their French rivals.
At just 5'6, it appears like he might be a similar player as Kante, who lit up the Premier League last season and helped win City their fairytale league title.