The 17-year-old is one of the brightest prospects in the Ligue 1 club's academy and they are doing all they can to cling onto him.
But, according to L'Equipe, Liverpool have also offered Koffi a professional deal and the youngster seems ready to move to England.
The teenager, who has been likened to current Liverpool star Sadio Mane, has been a regular in Monaco's Under-19 side and has attracted attention from across Europe.
Now it looks as though his next move will be to England after the Reds moved quickly to land him.