"The situation hasn't changed", Hasenhuttl said.
RB Leipzig now lie fifth in the Bundesliga, which resumes this weekend after the winter break, and want to keep Keita for a renewed push to qualify for the Champions League, as well as for their Europa League campaign, where they face Napoli in the last 32.
The Liverpool boss reportedly informed Dortmund there was no way he would sell Coutinho, in turn aiding the Germans in their negotiations over Ousmane Dembele.
"I just wanted to say that I have a song I think will go down really well on The Kop - maybe we could do it against Manchester City?".
Although far from a like-for-like player, acquiring Keita before this window closes would make up for the loss of a wonderful footballer.
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Signed from sister club Red Bull Salzburg for around £12m in the summer 2016, Keita's maiden Bundesliga season, in which newly promoted Leipzig finished runners-up to Bayern Munich, saw the 22-year-old mark himself out as one of the best midfielders in Germany.
RB Leipzig could let Naby Keita join Liverpool in the January transfer window.
As Schalke prepare to face Keita's side this weekend, their sporting executive, Christian Heidel, joked that Klopp should step up his efforts to sign Keita this week. "That's the only thing I'm interested in".
In November, RB Leipzig also ruled out Keita joining Liverpool earlier than planned.
"Liverpool is no longer the same without you my magical brother", Firmino wrote on social media following his friend's departure to the Nou Camp.
Keita has endured a hard period since the transfer to Liverpool was announced, scoring just two goals this season and being sent off three times in three competitions in the space of 39 days earlier in the campaign.
Liverpool pose test of City's bid for immortality
They will be hoping that the arrival of new defender, Virgil van Dijk will help stop Pep Guardiola's irresistible frontline. Jurgen Klopp's team parted with a world-record £75 million fee to lure the Netherlands global away from St Mary's.