Negotiations with Firmino over an improved contract are yet to begin, but "will happen soon".
The Premier League returns this weekend after an FA Cup hiatus with a heavyweight clash between Liverpool and Manchester City while Arsenal can not afford to be cut adrift in the race for Champions League places.
He is coming to Merseyside to play in the Champions League - it would be criminal if he didn't join until the summer, and Liverpool missed out on it.
Firmino's importance to the Liverpool cause has only increased with the sale of Philippe Coutinho to Barcelona for £142million.
If a deal is agreed for Keita in the winter window, he will become the most expensive player in Liverpool's history. And they have shored up their suspect defence by paying an eye-watering £75 million ($102 million, 84 million euros) to Southampton for defender Virgil Van Dijk.
The "opinion has changed" in Leipzig because, more or less, they're fed up of the player, with Bild saying: 'The extravagances of the African are now getting on people's nerves'.
Klopp said after the move was made official that Coutinho had made it to clear to him, the management and even the players that he wanted this move.
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To be the first team to beat them in the league, that's a big incentive. This year he has 16 goals already, second only to Salah.
Coutinho's exit could go one of two ways for Liverpool.
We have always said that there's no reason to let Keita leave early and that's the way it will be.
Coutinho scored 54 goals in 201 appearances for Liverpool.
Liverpool have also been linked with Monaco ace Thomas Lemar and Leicester winger Riyad Mahrez.
I have been speaking to contacts around Liverpool to gauge how else they will move on from losing their Magic Man, and many expect the funds to go towards Klopp's long-term plan.