The Italian newspaper claim that the experienced manager is after a Auturo Vidal replacement after the Chilean signed for Bayern Munich last month.
Calciomercato went onto state that the 24-year-old would be available for €20 million.
Juventus won the Italian Serie A title last season with a 17 point gab between second placed Roma and reached the UEFA Champions League final.
The Bianconeri’s were defeated 3-1 by Barcelona in the final which was played at the Olympiastadion in Berlin. Juventus take on Udinese in their opening game of the 2015-16 season.
Gündoğan wrapped up the season with five assists and three goals in 33 appearances in all competitions.