The Daily Mail report that the Gunners are keen to make an early move for the player before other sides join the chase for Jovetic.
£25 million may be needed to prise the Montenegrin forward from Fiorentina.
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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.