The Denmark international is about to enter the final 12 months of his contract at the Amsterdam ArenA, increasing speculation the club could cash in on the talented 21-year-old.
Spurs and Liverpool have been linked with a move for the player all summer, while he is also attracting interest from Germany and Italy.
Eriksen's agent Martin Schoots has confirmed clubs from the Bundesliga and Serie A have made enquiries about the player.
However, in a blow to the Premier League duo, he has also confirmed that Eriksen would only consider a move to a Champions League club.
"There has been contact with a club from Germany and one from Italy," Schoots told Tuttomercatoweb.
"He will only leave Ajax to join a team that are automatically qualified for the Champions League and fighting for the title every season.
"He is still very young, very appreciative towards Ajax and happy to stay. At the moment we are not in talks with Ajax but we will be if a move doesn't materialise in this window.
"One thing is for certain, he won't leave on a free transfer."