Per the source, the Black Eagles want Benteke on loan and are willing to pay a €3.5 million fee for the temporary move.
Besiktas will however, have to wait for at least another week for the Reds to make their decision on his future.
Benteke’s agent Eris Kismet did recently tell Turkish-football.com, that the Reds priority is to sell the Belgium international but that their asking price is putting clubs off.
“Liverpool want to sell Benteke but clubs that are interested as unable to match his valuation,” Kismet said.
The Reds would only accept a loan bid if their £32 million asking price is not met.
Crystal Palace have also been in talks with Liverpool over Benteke but the Reds want £32 million for the Belgium international according to the Mirror.
In fact Palace reportedly had their offer rejected after failing to match the Reds valuation.
Besiktas have been put in an awkward position as they are desperate for replacement to fill the boots of Mario Gomez who has not returned following his loan from Fiorentina.
The powerful striker finished last season as top goal scorer, played key role in winning the league title and got recalled to the Germany national team – scoring twice at Euro 2016.
The Black Eagles would be able to guarantee Benteke first team and Champions League football if he were to make the move.