Last season’s top scorer Eze – who netted 10 Premier League goals in 2022/23 – has been recovering from an injury sustained prior to last month's match against Nottingham Forest, whilst chief creator Olise – who recorded 11 assists – has been unavailable for selection so far this season.
Hodgson confirmed in the embargoed section of his press conference that he is planning for Eze to be included in the matchday squad for Burnley, stating: "He’ll be in the squad.
"We obviously may have to discuss with the sports science people whether he can start, or whether we might just have to keep him up our sleeve – I can’t give you an answer on that one – but unless anything happens tomorrow [Friday], he’ll be in the squad without a doubt.”
The manager initially said of Eze and Olise: "They're making good strides.
"We've had the benefit of Ebs [Eze] being released to us this week, so he's taken part in training pretty much as normal.
"Michael Olise is making good strides too but the sports science people are a little bit more careful with him, so they haven’t released him to us to the same extent, but he has taken part in parts of the training sessions and he's looking good.
"I'm pretty hopeful that next week he will be like Ebere Eze, released to train fully with the group.
“[They will return] before the break without a doubt and hopefully even for the Everton game, it's not out of the question. It will depend to some extent how both deal with the week's training.
"In Ebs' case, that will be two weeks' training, and in Michael's case it will be just one full week's training – but I’ve got to say they look good."