The Armenian, who was heavily linked with Liverpool, now seems set to move to Germany, report Bild.
Dortmund have money to spend after losing Mario Gotze to Bayern Munich for €37 million.
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.