Mohamed Salah and Dominic Solanke have already arrived on Merseyside this summer, but Liverpool will need to do a lot more in order to establish themselves as genuine contenders for the major trophies this coming season.
Keita is Klopp's main target but Leipzig are determined to keep hold of the Guinea worldwide, with the club's sporting director Ralf Rangnick recently insisting that none of his players are for sale.
However, Klopp is willing to break the bank to sign the player and could lodge another improved offer.More news: Roger Federer vs Tomas Berdych - Wimbledon Men's Singles Semi Finals
It's going to be an interesting few weeks but there is no doubt Keita would be a superb signing if Liverpool manage to get a deal agreed for the midfielder this summer.
It's added that Keita is keen on a move to Anfield and so perhaps this whole situation will depend on his ability to force the move through, with Leipzig surely not wanting to keep a player against his will.
Sporting director Ralf Rangnick has been just as eager to reiterate Leipzig's hardline stance with regards to outgoing transfers, maintaining that the Bundesliga runners-up would not consider selling even for a "three-figure transfer fee".
Keita made 31 Bundesliga appearances for Leipzig last season, scoring eights goals and now contracted to the club until 2020.