L'Equipe has reported the Reds are in 'constant contact' over a possible move next Summer for the World Cup winner.
They also stated the Paris Saint-Germain star could be available for a fee of around £91m.
Ex-Real Madrid player Buyo has now made the latest claim regarding the Frenchman's future.
The former goalkeeper told El Chiringuito: “It looks like Liverpool are also interested, but I believe Mbappe has already made his decision [to join Madrid].
“Will it be next summer? We will see if he expects to end the contract. I do not know if he can handle the pressure or if he will accept any millionaire proposal that PSG will present to him."