The 27-year-old Serbian international has been heavily linked with a move to England after his agent, Vlado Borozan ruled out the possibility of Krasic joining another Italian club.
Red Devils boss Sir Alex Ferguson is believed to be in the market for a creative midfielder amid a growing injury list at Old Trafford, but so far United are yet to show their hand.
Yesterday's announcement that Paul Scholes has come out of retirement to rejoin Manchester United until the end of the season could now mean that there is no further business carried out in January.
"There is still some interest in him [Krasic] from the Premier League," Borozan told notiziariosportivo.com. "I can rule out the prospect of Milos moving to another Italian team.
"In the last few days there has been some interest from Russia and Turkey. We will see what happens in the next few days."
Krasic has hinted that he may look to leave Turin on loan having slipped down Antonio Conte's pecking order, and Chelsea has been mooted as a potential destination.
Andre Villas-Boas is equally keen to add to his Stamford Bridge squad, and may rival Manchester United for Krasic's signature.