Dortmund are losing Mario Gotze to Bayern Munich and so are on the look out for a replacement playmaker.
De Telegraaf report that they have enquired to Ajax about Eriksen, who is also wanted by Liverpool.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.