That’s according to German football expert Lee Price.
The Reds agreed a deal with Leipzig for the Guinea international this summer.
Keita, 22, will move to Anfield at the end of the season, with a £48m fee agreed with the German club.
And Price says Liverpool could even land Keita in January if Leipzig’s Champions League and Bundesliga hopes have faded, claiming Tuesday will be pivotal in the decision.
Price told the Daily Express: "I revealed back in June that Keita had agreed terms with Liverpool - and there's a chance he could move earlier.
"Firstly, don't get carried away - at the minute it's only a slim chance and there are no agreements in place, except the one for Keita to move next summer.
"But there's always been talk that, depending on Leipzig's domestic and Champions League progress, Liverpool could pay a further premium to get the midfielder early.
"If Leipzig lose on Tuesday, expect Liverpool to hold more talks to discuss whether a January deal could be done.
"A win, on the other hand, would severely hamper any chances of Keita moving early as Leizpig won't want one of their star players going anywhere."
Leipzig face Besiktas in the Champions League on Tuesday after the Bundesliga side were held to a 1-1 draw by Monaco in their opening group stage clash.
