The Swedish midfielder is expected to leave Ajax this summer and Ekstra Bladet reports that both Odense and Brondby are keen on signing him.
Lindgren’s agent Soren Lerby told Ekstra Bladet: “There is great interest in Rasmus. This also from several Danish clubs.”
Lindgren has also been linked with several Swedish clubs in recent weeks.
The 26-year-old will be allowed to leave Ajax on a free transfer, despite having a year left on his contract with the Eredivisie giants.
