Liverpool are yet to make an official announcement about the deal but reports said Keita completed a medical on Monday.
Keita was reported to be one of Liverpool manager Juergen Klopp's key transfer targets after he scored eight goals and provided eight assists to help Leipzig finish second in the German Bundesliga last season.
The 22-year-old would become Liverpool's most expensive signing, surpassing the fee of 42 million euros ($50 million) the club paid to sign winger Mohamed Salah from AS Roma in June.
(Reporting by Aditi Prakash in Bengaluru, editing by Ed Osmond)
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