The newspaper quotes former Nigeria international Edema Fuludu who believes it would be a good move for Mikel if the transfer were to go ahead.
Fuludu was quoted as saying: “His (Mikel’s) pay may not be as good as what he is earning in Chelsea if he joins Besiktas, but it will help his career. Mikel has spent considerable years in Chelsea but he’s not been consistently playing first team football.”
Mikel has also been linked with Istanbul rivals Fenerbahçe and UAE side Al Ain over the transfer window.
The experienced midfielder is expected to struggle for playing time at Chelsea this season after falling down the pecking order at the London based club.
The 28-year-old midfielder does however, still have two-years remaining on his contract.
Beşiktaş have been targeting a central midfielder over the transfer window after injuries to Veli Kavlka and Tolgay Arslan – both players have been ruled out until the turn of the year.
The Black Eagles have also been closely linked with a move for Liverpool midfielder Lucas Leiva.
The Istanbul giants are currently managed by former Turkish national team head coach Şenol Güneş and will compete in the Europa League group stages.