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Konate is now inside the final year of his contract at Liverpool and the last time he was asked about the situation publicly, he laughed off the suggestion that an agreement was close.
Ibrahima Konate has entered the final 12 months of his Liverpool contract
"I absolutely shudder to think where Liverpool would be without Van Dijk, who has been absolutely outstanding in those games."
Konate was significantly better against Arsenal than in the other matches, but there has always been a question mark about his consistency.
When Van Dijk isn't alongside him, there is a feeling that he isn't yet ready to lead
In signing Florian Wirtz and Alexander Isak, Liverpool has considered what might come after Salah, but he scored 34 goals last season, and could clearly not be let go.
While Liverpool would rather not lose Konate (at all, let alone for nothing), his situation is very different
And though the Reds missed out on signing Marc Guehi on deadline day, he could arrive next summer for free.
With Giovanni Leoni having come in during the summer window just gone and interest in Joe Gomez rebuffed, Liverpool has enough depth at the back for now.
This week, The Times described the Konate contract situation as being at an "impasse." If it came to it, taking out Konate for Guehi at the end of the season would be a decent swap.