The Blues could make a move for the 28-year-old in the January transfer window, according to the Mirror.
Juventus, Bayern Munich and Tottenham are also keeping tabs on the Croatian captain.
Srna’s contract with the Ukrainian side is set to expire next summer.
Srna’s agent Damir Stimac said: “There is a chance of a loan in January before moving in the summer. But we will see what develops.”