The 32-year-old could be on his way out of the Turin club this summer after falling down the pecking order following the arrivals of Aaron Ramsey and Adrien Rabiot.
Tuttosport believes that the Germany international is being courted by the two Premier League clubs who are interested in bringing him to England.
The Italian champions are unlikely to put up a fight to keep him, and the decision of which club to join will lie with Khedira.
Tuttomercatoweb has also reported that Khedira will be sacrificed before the end of the transfer window, along with team-mate Blaise Matuidi.
But according to the outlet, a move to Arsenal is unlikely to go ahead unless Juve are willing to let the former Real Madrid player go for almost nothing.
Get the best features, fun and footballing frolics straight to your inbox every week.
Thank you for signing up to Four Four Two. You will receive a verification email shortly.
There was a problem. Please refresh the page and try again.