Keita is already due to join the Merseyside club in a £57m move this summer but following Philippe Coutinho's departure, Liverpool are keen to accelerate the deal.
The capture of Keita in January - even at a cost of £17 million extra - would be a huge boost for Liverpool.
It is not surprising that the player wants to move to Manchester City.
A post started with the words 'Official' and 'Naby Keita', insinuating that the midfielder was gone, before simply revealing that his 'passing is very good'.
As Liverpool come to terms with life after Coutinho, one short-term option may be to hasten the arrival of.
"There are contracts, and they say that he will be a Liverpool employee from July 1 onwards".
"When we had this conversation around Coutinho, I said the same". Whoever remains, it is our job to keep the wheels moving and keep the momentum going.
Keita's form has dipped in recent months and there have been discipline issues on and off the field.
Sturridge has attracted interest from Southampton and West Ham United recently and still harbours hopes of forcing his way into Gareth Southgate's England World Cup squad.
Leipzig were adamant that Keita would spend the year in Germany, particularly if they progressed in the Champions League and were in contention in the Bundesliga but their position has softened, given they are in the Europa League and 13 points behind leaders Bayern Munich.
A new goalkeeper is paramount, however, if they are to really reach that top level.
Liverpool FC fans have been dreading this day since last summer, when the Coutinho saga began.