Klopp has already signed goalkeeper Loris Karius, centre-back Matip, forward Sadio Mane and midfielder Marko Grujic this summer.
£32m duo heading to Merseyside to complete Liverpool transfers - reports
By North-west correspondent Alex Stevens
Liverpool are close to signing Newcastle midfielder Georginio Wijnaldum and Estonia captain Ragnar Klavan, according to reports.
The Sunderland Echo claims Wijnaldum is keen on a move to Anfield and the 25-year-old is expected to travel to Merseyside ahead of a deal being finalised.
Meanwhile, Sky Germany reported on Monday morning that experienced defender Klavan is flying to England to undergo a medical and put the finishing touches to a transfer to Liverpool.
— Torben Hoffmann (@Sky_Torben) July 18, 2016
Jurgen Klopp’s team will bring the number of their summer signings up to six if they can finalise the two deals in the coming days.
The Mirror claim Klavan will join for a fee of around £4million, potentially rising to £5million, from German club Augsburg.
It is said the deal will be completed early this week, with the defender signing an initial two-year contract with an option for a third.
Meanwhile, the Telegraph claimed on Sunday night the Merseysiders have jumped to the front of the queue to sign Wijnaldum as Klopp continues to press ahead with plans to bolster his midfield options.
It is said Newcastle value the Dutch international at £27million but Liverpool are hopeful of striking a deal at around the £20million mark.
Experienced Merseyside journalist Chris Bascombe says negotiations between the two Premier League clubs is ongoing but states “there is even some optimism on Merseyside talks could advance significantly over the next few days in time for the player to join Liverpool’s pre-season tour of North America”.
Tottenham and and Everton are also keen on signing Wijnaldum, who has made it clear that he wants to leave following the club’s relegation to the Championship.
The Holland international moved to the north east of England last summer from PSV Eindhoven for a fee of £14.5million.
The 25-year-old was a shining light in a wretched Premier League campaign for the Tyneside club, scoring 11 goals in the competition.
In other Liverpool transfer news, the club could complete a £27million deal for Georginio Wijnaldum by Thursday.