The Crystal Palace manager revealed he believes relationship between pair is 'less good' after Allardyce was caught talking about him by undercover reporters in 2016.
Roy Hodgson: Sam Allardyce never apologised for mocking how I speak
Roy Hodgson revealed Sam Allardyce has never apologised to him for mocking the way he speaks - and says it is too late now.
Allardyce was filmed referring to Hodgson as "Woy" during the meeting with undercover reporters posing as businessmen which brought an abrupt end to his spell as England manager in 2016.
Hodgson, Allardyce's predecessor as England coach, will come up against the now Everton manager for the first time since that episode when he takes his Crystal Palace side to Goodison Park on Saturday.
The 70-year-old Palace chief, who says he will still shake Allardyce's hand, admits their relationship has been soured as a result.
Asked if Allardyce had apologised, Hodgson replied: "No."
He added: "Do you like being insulted? No, not particularly. Did it bother me? I didn't lose any sleep over it.
"My relationship with him before, I always thought was good. Now I would expect it to be less good.
"Would I like him to apologise? No. It's far too late. It has gone. It belongs to the distant past.
"In jobs like I am doing at the moment when you are the manager of a Premier League club, you live very much in the ultimate present and the future.
"I'm not interested. I've said what I've got to say."