With Wenger's contract up at the end of the season and no confirmation by him over whether he will remain at the Arsenal helm, club chiefs are pondering potential replacements.
Juventus coach Massimiliano Allegri has denied that there is an agreement in place to replace Arsene Wenger as Arsenal boss.
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Allegri, 49, has led Juventus since 2014 and is on course to guide the club to a third consecutive Serie A title despite Sunday's 1-1 draw at Udinese. The Italian manager also won the 2010-11 Serie A when he was the manager of AC Milan.
It is believed Allegri has been in discussions with Arsenal since past year after being identified as the London club's number one managerial target.
Wenger's contract runs out in the summer, with Arsenal 13 points off leaders Chelsea in the Premier League.
The recent loss to Liverpool over the weekend hasn't helped the team in holding onto the Champions League spots on the Premier League table, nor has it helped in silencing the "Wenger Out" brigade.
A shortlist of transfer targets has already been compiled by Allegri and passed on to the Arsenal board to green light if he is to take over the Gunners top job.
The Frenchman could leave at the end of the season when his contract expires and Koeman is seen by influential members of the Gunners board as the flawless replacement after impressing them with his work at both Southampton and Everton, according to the Mirror.