Edwards' contract expires in June and he appears ready to move on.
Klopp declared himself unconcerned by the contract situation and believes it will be addressed in due course.
He said: "What kind of story is that now?!
"We talk about the contract of the sporting director which expires next year?
"We've worked together for six years and I don't think I've had a different sporting director.
"But it's not my decision to do these kinds of things, so I don't know.
"You need to ask other people about this, but over contracts, we don't discuss, right. So I will not start now with the sporting director.
"That's really interesting, I've never spoken before about the contract of a sporting director.
"If it was my point of view, if it expires next year, which I didn't know exactly, I will think about that next year and not now."
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