The defender, who plays for Cologne in the Bundesliga, has been linked with a move to Anfield in recent weeks, as Klopp seeks to overhaul a defence that has leaked 40 goals in 29 games this season.
Hector, whose current deal expires in 2018, has won a total of 10 caps for Germany and could feature for Joachim Low’s side in Saturday’s prestige friendly against England.
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And the 25-year-old admits that he could leave Cologne in the coming months, saying a call from Klopp could see him make a move to Anfield.
“You always have to consider whether you are ready to take the next step. But at the moment I am not thinking about it,” he told Eurosport.
“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.”