The report was confirmed by the former sporting director director of the Istanbul based club who told Bayez Tv on their football show that the deal will be sealed in January.
The former Nantes defender has been a fringe player since joining Chelsea in the summer and Mourinho has stated that he did not ask for the Senegalese to be signed.
He came off the bench once when Chelsea thumped Walsall in the League cup and has since been featuring only in training.
As quoted by the Independent, Mourinho said of Djilobodji:
“It was not my choice. It was the choice of somebody I trust completely,”
“I don’t know every player. My job doesn’t allow me to travel, doesn’t allow me to spend hours and hours watching players.”
Besiktas have been rooting for the signature of some of Chelsea players including Mikel Obi and Radamel Falcao.
Djilobodji was signed in the summer for £2.7 million and it will be best for the Premier league defending Champions to cash in on the defender after he has failed to make any meaningful impact since joining Chelsea.