Anzhi are chasing Manchester City contract rebel Yaya Toure.
The Daily Mail says the ambitious Russians have been alerted to news that the 29-year-old could be willing to leave unless discussions over a new contract are resolved.
Toure's agent, Dimitri Seluk, even gave today as a deadline for an agreement to be reached threatening that otherwise his client would be off in the summer.
Toure, who was signed for £24million in 2010, still has two years left on a £220,000 a week contract and only recently declared his desire to stay at the club. Talks over an extension began last year but have since stalled.