The Belgian has struggled this season, netting only twice in the league, a tally that has attracted plenty of criticism from around the game.
Hodgson has kept his faith in the 27-year-old but, having limped off last weekend against his former club Liverpool, he is a doubt for Saturday's trip to Bournemouth.
The forward's groin injury will be assessed ahead of kick-off and Alexander Sorloth's absence means the Eagles will be desperate to get him on the field.
After being questioned about Benteke's performances at his Thursday press conference, Hodgson came out in a strong defence of his player, insisting he is confident the goals will soon start to flow for the former Aston Villa man.
He said: "We have been content with the way he has been going about his work and he has been doing his level best to bring what he can as a centre forward.
"He is working hard and he assimilates fully with the patterns we are working on.
"Goalkeepers and strikers performances are often judged on a few short moments over the whole game."