This is according to the latest reports coming out of the media in the European nation of Italy.
Manchester United manager Ole Gunnar Solskjaer is under serious pressure to deliver results at Old Trafford and there has been transfer speculations over his job with the likes of Allegri linked as the replacement for him if the Red Devils decide to sack their current boss.
According to the specific report from popular Italian news outlet Tuttosport, Maximiliano Allegri has opened talks with Premier League giants Manchester United over the possibility of replacing Ole Gunnar Solskjaer as their manager.
Allegri is not the only one linked with the managerial job at Manchester United.
Others like Mauricio Pochettino and RB Leipzig manager Julian Nagelsmann have also been linked with Manchester United.
Maximiliano Allegri left Italian Serie A giants Juventus in the summer after he led the Old Lady to another league title.
He won five successive Italian Serie A titles as the Juventus manager.
The Italians have won eight league titles in a row and are on course for Serie A title number nine.