The Argentine ace has reportedly fallen out with boss Louis van Gaal, who now wants him out of the club.
The Sunday People claims Zenit St Petersburg will launch a raid on United for the player in the next transfer window.
Rojo fell out with his manager after a passport issue on the club's pre-season tour of the USA.
A failure from the defender to reveal the full extent of a hamstring injury in the clash with Southampton a fortnight ago further enraged Van Gaal.
And the Dutchman is now ready to call time on his Old Trafford career 18 months after bringing him to the club in August 2014.
Rojo was signed from Sporting Lisbon in a £16m deal and played in Russia for Spartak Moscow prior to his switch to Portugal in 2012.
