Rooney is on 38 goals, 11 behind Charlton's total, and Hodgson says he would welcome the Manchester United striker setting a new record.
Hodgson said: "I'm sure we will talk about it. We'll be together for a longer period of time (at the World Cup), and that kind of thing might crop up in an everyday conversation and it's quite good to have that.
"He's a long way behind Alan (Shearer) in the Premier League, but in terms of international goals he's definitely up there and we would want that."
Hodgson believes Rooney could still be playing for England into his mid-30s.
He added: "You'd like to think so. He's a massive football man. He lives for football. Football is his life.
"There are plenty of other players we have at the moment who are 33, 34 and are still going strong, still doing good jobs for their club and country, so why not Wayne?"
Hodgson revealed he had contacted Rooney this week to congratulate him on his new five-and-a-half-year contract with United and believes having settled his future could work in England's favour.
He added: "I'm very pleased for him, for United and for us.
"I don't want to go too much down the route that now he won't be distracted because I've got every faith that he would have come to the World Cup with England and been focused whatever the situation.
"But I can't deny that it's tremendous that, so early in the season, he's signed a new contract and committed his long-term future.
"He's probably going to be a two-club man, and most of that will be at Manchester United. It is an advantage, no doubt, and I'm pleased for everyone concerned."