The Bundesliga defender has recently been linked to a move to Anfield as Klopp looks to strengthen the defence that has leaked 40 goals in 29 matched this season.
Hector's current contract with Cologne expires in 2018 and he told Eurosport, “You always have to consider whether you are ready to take the next step. But at the moment I am not thinking about it,”
“I think what we have to do at Cologne is enough. I also have a big tournament ahead with the national team."
“[If Klopp rang?] Then I would start to think about it.”