The Leicester City star has been in incredible form.
He found the back of the net earlier today as Leicester beat Crystal Palace 1-0 at the King Power Stadium.
That form it seems has not gone unnoticed.
They are not alone. The same report claims that Tottenham Hotspur are also keeping tabs on the player.
Vardy's style of play is certainly suited to both teams. Klopp wants Liverpool to play with gusto and verve, which Vardy has in abundance. His pressing style will also suit Tottenham boss Mauricio Pochettino's favoured style of play.
Leicester fans will hope that Vardy is going nowhere but if these two come knocking it is hard to see him sticking around.