Donnarumma has been backed to move to Manchester United if they sell David de Gea.
The 18-year-old is has been tipped to become one of the world's best goalkeepers after breaking into the Milan first-team two years ago.
His stock is high, with the likes of Real Madrid and Manchester City also linked with him.
Donnarumma has stressed his desire to stay with Milan amid talk he could quit the San Siro.
Gianluigi Donnarumma is wanted by Manchester United
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Manchester United star David de Gea continues to be linked with a move away
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Milan are currently drawing up a contract for the shot-stopper.
And club president Silvio Berlusconi has insisted the teenager is not for sale.
"For us, he is not for sale," he told Italian newspaper La Gazetta dello Sport.
Gianluigi Donnarumma is currently on international duty with Italy
"He is a heritage of Milan, a wonderful product of our nursery.
"He has shown attachment to our colours."
United could have to look elsewhere should De Gea leave at the end of the season.
The Spain international continues to be linked with a move to Real Madrid despite missing out on a move to the Spanish capital in 2015.