A Bola reports that Kagawa could return to Borussia Dortmund in January in a swap deal which will see 24-year-old defender Neven Subotic join United.
The Japanese international has failed to make the expected impact at Old Trafford under new manager David Moyes.
Borussia Dortmund boss Jurgen Klopp is keen for Kagawa to return to Germany, where the Japanese playmaker was a key player.
Moyes could risk the wrath of United fans, should he decide to sell Kagawa as they are eager for him to become a first-team regular.
