But before Alan Pardew can welcome Benteke to his squad, with no deal agreed with Liverpool at this stage, Hull have made a surprise bid for the 26-year-old.
This reportedly comes as a move to diffuse tension within the Hull squad following the departure of manager Steve Bruce.
Bruce left abruptly last week, after a lack of signings were compounded by long-term injuries to a number of key players.
Hull currently only have Uruguay international Abel Hernandez on their books as a senior striker, and they are yet to make a single addition to their squad after promotion.
It is highly unlikely that Benteke would leave Anfield for the KC Stadium, however, particularly in a temporary deal.
Liverpool have already rejected two big-money offers from Palace, the latest worth up to £31.5 million, as they look to recoup much if not all of the £32.5 million to sign him last summer.
Benteke joined from Aston Villa on a five-year, £120,000-a-week deal just over a year ago, but has failed to adjust to the Reds’ tactical demands.
Benteke is currently with Klopp’s squad on their pre-season tour of the US, however, and could feature against AC Milan on Sunday morning (3.05am BST).
How much longer he remains on the books on Merseyside, however, is up for debate.