Massimiliano Allegri has told Arsenal they have three weeks to let him know if he is to replace Arsene Wenger as manager, according to the Daily Star.
The report claims the Italian is being pressured to sign a new deal at Juventus but is prepared to wait until the end of the month to hear back from the Gunners.
Allegri is the current favourite to take over at the Emirates next season but Wenger’s future is still yet to be clarified.
The 67-year-old continues to insist his preference is to stay at the club but a new deal has yet to be agreed, despite reports he has been offered a two-year extension.
Arsenal took the unusual step of releasing a statement on Wenger’s future this week, insisting any decision will be made mutually following fan protests against Wenger.
Further protests are planned for Saturday’s FA Cup clash against Lincoln with frustrations running high amongst supporters after defeats to Liverpool and Bayern Munich.
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Allegri’s Juventus side, meanwhile, are currently 11 points clear at the top of Serie A after Friday’s controversial 2-1 win over AC Milan.
Arsenal may need to move quickly if they are to secure Allegri with the Italian having also been linked with a move to Barcelona, following Luis Enrique’s decision to leave at the end of the season.
Unai Emery’s position at PSG is also likely to come under close scrutiny following the French champions’ disastrous Champions League exit at the hands of Barcelona.
PSG are also three points off the pace in the Ligue 1 title race and it remains to be seen how much patience the club’s owners will have with Emery.
Allegri’s current Juventus deal expires in 2018 and and rumours that he will leave the Turin side this summer have grown louder as the season has progressed.