Chelsea boss Maurizio Sarri has been linked with a move away from the Blues, despite securing a top four spot and a place in June’s Europa League final.
Juventus are reportedly considering both the former Napoli boss and Tottenham’s Mauricio Pochettino.
If they are successful in tempting either of those men to leave their current jobs, it would leave Allegri in pole position to fill the potential opening.
Allegri added: “Life is full of surprises and you need to be ready for everything.
Massimiliano Allegri could complete a shock move to the Premier League (Image: GETTY)
Massimiliano Allegri revealed last week that he will be forced out by Juventus (Image: GETTY)
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Juventus are reportedly keen to make Mauricio Pochettino their next boss (Image: GETTY)
"I train with joy and fun, because if I'm not persuaded by the squad at my disposal, I try changing things around, moving players into new positions and trying something different, otherwise I get bored."
Allegri could be managing Champions League finalists Tottenham next season as Pochettino continues to refuse to commit his future to the club.
The Argentinian admits that a historic European triumph would be the perfect end to his five years in north London.
"I am open to everything," Pochettino said earlier this month when asked about his future.
Massimiliano Allegri is currently contemplating his options - but doesn't want a break (Image: GETTY)
Chelsea could swap Maurizio Sarri for Massimiliano Allegri (Image: GETTY)
Juventus have 'lost their identity under Allegri' says Laurens
"What I am not open to is starting a new chapter with no plan, with no clear idea, with not being transparent and being able to tell our fans what is our objective, to stop talking about perception, talk about reality.
“Because if not, it is going to be difficult.
“We know very well that we need to operate in a different way and that doesn't mean to spend more or less money.
“It's to be transparent and say: 'This is what we want for the next year, or the next five or 10 years.’”