The 20-year-old attacking midfielder, whose contract at the Amsterdam Arena expires in 2014, has been linked with the likes of United and Barcelona in recent months.
And it appears the Denmark international could be set for a January exit after Ajax director Marc Overmars admitted Eriksen looks unlikely to pen a new deal with the Dutch club.
“We would like Christian to sign a new contract with us, but it’s not something he wants,” Overmars told Sporten. “We will see what happens after this year.
“We speak with him and his agent and we will see what happens after December.”
Eriksen joined Ajax in 2008 and has scored 22 goals in 128 appearances for the Eredivisie side, while notching up 43 assists for his team-mates.
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news