The Liverpool striker has really struggled to get playing time this season, with the likes of Mohamed Salah and Roberto Firmino being played ahead of him for obvious reasons.
The English worldwide has only made five appearances in UEFA Champions League action, and nine in Premier League competition.
The 28-year-old frontman has offered his services to the Italian giants in an attempt to to prove both his fitness and form to Three Lions boss Gareth Southgate, according to Tuttosport. The former City and Chelsea striker doesn't even make the bench for the Reds these days having his place usurped by the industrious Danny Ings.
With the 2018 FIFA World Cup in Russian Federation looming large on the horizon, Daniel Sturridge finds himself in a position where he is not playing enough to be selected by Three Lions' coach Gareth Southgate.
Jurgen Klopp would not contemplate selling Sturridge in November.
"There is around one-and-a-half months before the window opens and I don't think about things like this".
Sturridge's current deal at Anfield has 18 months left to run but he could seek a permanent move away from Merseyside before then.