Reports are saying that Ivanovic has been in talks over a move away from Stamford Bridge this month.
Everton, Leicester and West Ham have all been linked to him as well.
Branislav will reportedly sign a two-and-a-half year deal with the Russian club worth £4.3m-a-year.
The defender hasn’t started a game since the 3-0 defeat to Arsenal back in September and only made six starts and seven substitute appearances for the Blues this season.