The former Arsenal attacker has confirmed that the Merseyside club have been closely monitoring the midfielder, who he believes is good enough to play for the "very best"
The 21-year-old has made over 100 appearances for the Amsterdam side since breaking onto the scene in 2010, subsequently attracting interest from a number of top European clubs.
And Overmars has named Liverpool as one of the sides hoping to lure the Danish playmaker away from the Eredivisie.
"We've seen the list of foreign scouts who visited our games and Liverpool was often present," the former Arsenal attacker told De Telegraaf.
He added, "We want him to stay here for at least two more years, but the day he leaves us, he will be ready to play for the very best. He’s a player even the biggest clubs in the world could do with having in their squad."
Eriksen has scored seven goals and provided nine assists in 26 league outings this season.