Fofana has attracted interest from Chelsea throughout the summer transfer window and the Blues have had two bids rejected already by the Foxes.
That has not deterred Thomas Tuchel's side, who are determined to get the French centre back with some sources claiming the two-time European champions are prepared to make Fofana the world's most expensive defender.
Fofana only signed a new contract until 2027 with Leicester back in March after returning from a long-term knee injury that restricted him to just 12 appearances last season.
The 21-year-old was one of the revelations of the 2020/2021 season following a summer move from Saint Etienne as he made 38 appearances across all competitions to help Leicester win the FA Cup and finish fifth in the Premier League.
Rodgers said at a press conference ahead of this weekend's game against Southampton: "The idea is that he is very much a Leicester player. He's not for sale. Unless anything changes, I would expect him to be here.
"There's nothing new from when we last spoke. We've spoken numerous times they are private conversations. Our communication is normal."
Asked if the speculation surrounding the Frenchman's future has affected his side's start to the new season, Rodgers replied: "There's no denying it. It's always a tricky period. Your season is starting, you're trying to get focused, and you spend your summer creating this powerful collective unit, and then there is lots of speculation.
"These are young guys and it's the first time they have experienced this for some of them. There can be disruption. The idea is to keep the group focused. The minute the window ends, it all ends."
Fofana has started all two of Leicester's Premier League games this season.
