Wilshere has been one of Arsenal's best performers since breaking back into Arsene Wenger's starting XI after a host of injury problems.
However, the midfielder hasn't accepted the London club's new offer of £80,000 a week plus performance-related add-ons to stay at the Emirates, which is a £20,000 a week pay cut on his current contract, .
These contract negotiations are allegedly being watched very closely by the Serie A leaders, who have previous for being very smart in the transfer market in securing great players for low prices.
A source in the English newspaper said: "Jack interests Juventus and feelers have been put out. He is someone whose game would suit [the Italian league] perfectly".
Despite these rumours, Wenger is confident that Wilshere will remain an Arsenal player after the summer and has even tipped him to be the next captain.
Apart from loan spells for Bolton Wanderers (2009-10) and Bournemouth (2016-17), the 26-year-old has been with the 'Gunners' since graduating from their academy in 2008.
In all competitions he has made 180 appearances, scoring 14 goals, in an on-off career which has been plagued by injuries.