However, the defender declined to provide any further updates on his contractual situation following a recent 1-1 draw against Brentford at Anfield.
"Today I don't speak!" he said.
Konate becomes the third established member of Liverpool's recent title-winning defensive unit to depart the club, following the exits of full-backs Trent Alexander-Arnold and Andy Robertson.
The club previously signed central defenders Giovanni Leoni for £27 million and Jeremy Jacquet for £60 million over the past year, though both players missed significant game time last season due to serious injuries.
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Liverpool is currently focusing transfer market priorities on a new right-winger to replace Mohamed Salah, actively pursuing RB Leipzig forward Yan Diomande who holds an £86 million release clause.
