Arsenal are keen to line Allegri up as a successor to Arsene Wenger if the Frenchman decides to leave at the end of the season.
Express Sport understands contact with the boss has already been made – although Wenger is expected to sign a new contract at Arsenal.
Barcelona, meanwhile, will lose manager Luis Enrique at the end of the season and are seeking a new boss.
Arsene Wenger next job odds
Fri, February 17, 2017
Click to reveal the best odds for Arsene Wenger's next club if he leaves Arsenal this season
1 of 7
Click to reveal the best odds for Arsene Wenger's next club if he leaves Arsenal
I have a contract until 2018 but I think this is the least of our problems
But Allegri insists he will honour his contract in Turin.
Asked about his future ahead of Juve’s clash with Chievo tomorrow, Allegri said: "I to coach Juve (next season)? At present 100 per cent.
“I have a contract until 2018 but I think this is the least of our problems, both for me and for the club.
Get Quotes on Home Insurance
“We continue with a mutual agreement and we must remain concentrated (on the league), we have not won anything yet.”
Juventus manager Massimiliano Allegri is wanted at Arsenal and Barcelona
Allegri's contract at Juventus expires in 2018
Juve sit top of Serie A – six points ahead of second-place Roma as they target a sixth success Italian championship.
They host Barcelona in the first leg of their Champions League quarter-final clash on Tuesday.
Pushed again about his future, Allegri said: "Every year is different, last year there was another situation.
Barcelona manager Luis Enrique will leave at the end of the season
Arsene Wenger could leave Arsenal this summer
“Right now we are in the heat of the season, sooner or later (Juve’s bosses) will call me.
“But for now I repeat, I am happy to be at Juventus and later we will get to table to understand what they want to do.
“I am an employee and I do my work.
“There were rumours a month-and-a-half ago but at this time I do not have the ability to think about the future.”