With his deal running down this season, the France defender has been linked with Real Madrid and Bayern Munich in recent weeks.
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Currently away with France, Konate spoke to local reporters about the situation.
He stated: "I've seen a lot of things in the press recently, like Liverpool have made me a new offer…
"I don't know where that's coming from.
"My agents are continuing discussions with Liverpool, I hope my decision will be made very soon so I can announce it."