Their No. 9 is now contracted until the summer of 2020, but Liverpool wants to make sure that, if they have to lose Firmino at any point, then they will be able to command the highest fee possible due to having complete security on the contract front.
They added: "Nothing has changed and our position hasn't changed from before regarding this transfer".
Reports this week claimed Leipzig would accept an extra payment of about £15m if Liverpool wanted Keita in January.
The German newspaper say "internally it's clear" at RB Leipzig that Keita can go if Jurgen Klopp gets Liverpool to stump up €95m in total.
Hasenhuettl's comments echo those made by Leipzig chief executive Oliver Mintzlaff earlier this month, who insisted the dates on the contracts drawn up with Liverpool mean there can be no deal this month.
However, Leipzig coach Ralph Hasenhuttl told reporters on Thursday that Keita remains a part of his plans for the foreseeable future.
With the Reds losing out on Coutinho's world-class technical dribbling and passing around the box, a move for the dynamic and game-changing Naby Keita could see the Reds forget about Coutinho very soon.
In addition to the statistical improvements Keita would offer Liverpool, he is also accustomed to playing within a system which focuses on intense, co-ordinated pressing, and whose ability to transition quickly between defence and attack is key. They've already waited a few months - the deal was agreed last August - and the 22-year-old has already spoken about his excitement to move to Merseyside.
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