Simon Kjaer, who made a record move to Turkey from Lille last summer, has been linked with a move to the Blues, who face competition from Manchester United over his signature, Goal.com has reported.
The 27-year-old was one of the main targets for Liverpool during last summer's transfer window but he eventually opted to join Fenerbahce in Turkey.
Back then, he said that his objective is to win titles and trophies, something that he might be fighting for if he makes a move to the Premier League.
"Liverpool wanted me, but I want championships, I want to win trophies," the 26-year-old told Haber Turk.
"Fenerbahce's goals this season are big, and it was explained to me very well."