However, RB Leipzig director of football has shut down that talk once and for all, by confirming that Keita will remain in Germany until the end of June.
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"We wish to put the speculation about a January move to Livepool to bed".
Schalke on Saturday will not be Keïta's last game for Leipzig.
On Friday Bild were abundantly clear: Naby Keita can move to Liverpool in January as long as the club pay an extra €20m.
Schalke's Benjamin Stambouli in action with RB Leipzig's Naby Keita. Reuters
"That would only have been possible if we had reached a mutually agreed solution in the sense of an exorbitant additional transfer payment".
An announcement from Leipzig's Twitter account confirmed that the Guinea global will remain in Germany until the summer, when he will take Steven Gerrard's old number 8 shirt at Liverpool.
Liverpool had tried to sign Naby Keita this month.
But Leipzig insist Keita will not leave the Bundesliga club until the end of June - the previously agreed date for his transfer.
Klopp may be resigned to not signing any further players in this window, the manager having shown on several occasions at Liverpool he is willing to wait for his top targets.
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