Speculation is rife that the Merseyside rivals are tracking the 20-year-old defender (L'Equipe) who has managed just four Ligue 1 appearances for the French giants this season.
As a result of his lack of game time, Kimpembe, a France Under-21 international, admits that he is at an age where he cannot sit on the bench any longer, insisting that he is good enough for first-team chances somewhere.
"At my age, you have to play," Kimpembe said to Le Parisien. "We’ll see this summer which will be offered to me. I know what I’m capable of. I’ve experienced the level in Ligue 1 and I know I can play."
Kimpembe, whose contract expires in 2018, might interest the Toffees given the lack of certainty surrounding John Stones's future at Goodison Park.
Stones is a similar type of centre-back, comfortable with the ball and a towering presence in defence, but Kimpembe is a year younger and signing him to be a ready-made replacement would be risky by Roberto Martinez.
On the red half of the city, it remains to be seen how many of Liverpool's centre-halves figure in Jurgen Klopp's long-term vision for Liverpool.
Mamadou Sakho and Dejan Lovren have impressed since Klopp replaced Brendan Rodgers, though there may be question marks over Kolo Toure and Martin Skrtel.