The Dane is undergoing a medical at the club, who will take the player on loan with a view to a permanent move.
Juve have been searching for a new striker for much of the summer.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.