The Danish international has attracted interest from a number of Europe's top clubs, with Manchester United and Barcelona both believed to be scouting the young playmaker, while Manchester City have also been credited with an interest in Eriksen.
The 20-year-old has stated in the past that he is happy at Ajax, but it now seems he could be looking for a move elsewhere.
The Dane is under contract with the Amsterdam club until 2014, and Ajax director Marc Overmars has confirmed the club will sit down with Eriksen to plot the best move for club and player.
Speaking to Sporten in Denmark, Overmars said: "We would like Christian to sign a new contract with us, but it's not something he wants.
"We will see what happens after this year. We speak with him and his agent and we will see what happens after December."
The Dutch champions are under no pressure to sell the midfielder in January, with more than 18 months left to run on his Ajax contract, but they could look to offload Eriksen in the summer to avoid him leaving for free at the end of the following season.
United have been heavily linked with the young playmaker, and were thought to considering a bid for the Denmark international in the summer, but the Old Trafford club opted to move for Borussia Dortmund star Shinji Kagawa instead.
But Sir Alex Ferguson's side will likely face stiff competition for his signature should they reignite their interest in the starlet, with Premier League champions Manchester City also believed to tracking Eriksen.
Roberto Mancini's side saw first hand the Dane's ability, when Eriksen and Ajax took Manchester City apart in the Champions League in Amsterdam.
The Dutch club won their home group match 3-1 at the Amsterdam Arena, and managed to secure a 2-2 draw at the Etihad Stadium earlier this month, all but ending Manchester City's hopes of qualifying for the knock-out round.