The Belgian striker underwent his medical on Tuesday and Sky sources understand an announcement is expected today on the completion of the £32.5m transfer.
It is expected that Benteke will be Liverpool’s last signing of the summer ahead of their Premier League campaign, which starts at Stoke on August 9.
Anfield boss Brendan Rodgers has been busy in the transfer market this summer, bringing in James Milner, Adam Bogdan, Danny Ings, Nathanial Clyne, Roberto Firmino and Joe Gomez.
Sky Sports News reporter Kaveh Solhekol, who is in the Malaysian capital Kuala Lumpur with the Liverpool squad, said securing Benteke’s signature was Rodgers’ top priority.
Solhekol said: “Benteke was his No 1 target. He has already signed six players this summer and there is a general feeling at the club that he will be the last.
“There are still stories linking Liverpool with a move for Marco Reus and Real Madrid’s Asier Illarramendi. But I’ve been told those reports are nonsense.
“As far as Liverpool are concerned, I’ve been told they are just working on tying up that Christian Benteke deal and then as far as Brendan Rodgers is concerned he has the players that he needs for next season.”