The effervescent 31-year-old Melbourne playmaker has savoured the last few weeks in England as the creative force in the Kangaroos' triumph and, though he's committed to two more years at the Storm, conceded: "I'd love to come over here."
Munster felt his performances, which won him the man of the match award in the second Test and the inaugural Fulton-Reilly Award as the player of the series, were probably his best collective oeuvre in the green and gold.
And though he's hoping it will set him up for a spectacular home World Cup next year, he admits it could be difficult to nail down a starting berth, such will be the competition for places.
"If I get the opportunity. I'd love to come over to England. You just never know," Munster told AAP after orchestrating Australia's final-Test win in Leeds.
"I've been very selfish in a way, staying in the same spot (in Melbourne) all the time, and so whatever's best for my family, if they want to come over and explore England and the world, I'm more than happy to come over.
"But I'll make sure I come over here with the right attitude.
"I'm not going to come over just to take the money - but to play good footy.
"If I'd wanted to take the money, I would have taken it three or four years ago."
Munster is certainly playing some of the best rugby league of his career, calling his Fulton-Reilly award the "cherry on top" of a season in which he'd won the State of Origin series with Queensland and reached the grand final with Melbourne.
"Look, it's very humbling," he said.
"To have my name etched in history, I'll be able to get to about 60, 70 - hopefully you get that far - and show my grandchildren and my kids, who won't remember this, that their dad played some footy and did OK.
"I think this may have been my best Australian series. I played a really good handful of games here in the World Cup a couple of years ago, and I've had some mediocre ones too.
"But it's crazy, the older you get, the smarter you get. You understand the game a little bit more. When you're a bit of a young kid, it's all about the big play.
"For me, it's now just to dissect it and be a little bit smarter with the way I wanted to play. And here, it worked."
Munster was in the squad but didn't get to play when Australia won the World Cup on home soil in 2017, which gives him extra incentive to play a substantial role next year.
"Even though I won the player of the series this year, it doesn't mean I'm given the jersey next year. I've got to work hard - even harder, when you've got guys like Ethan Strange, great players in our spine and in our halves that can deliver on the big stage."
Munster proved one of the most popular of the tourists, even taking it in his stride when notorious British prankster Daniel 'Jarvo' Jarvis somehow evaded security and, complete with Kangaroos kit, linked arms with him during the anthems before the second Test in Liverpool.
The interloper finally got arrested, with Munster noting at the time with grudging admiration: "He got me an absolute ripper."
And the unlikely postscript? Apparently, Jarvo now wants to become Munster's buddy.
"Yeah, he actually messaged me the other day saying he wants to have a beer with me," beamed Munster, whose smile suggested he might just take him up on it.
But having played his part in silencing the passionate English rugby league supporters in their heartland to win one sporting Ashes clash, he's now a bit worried about their cricket fans being England's 12th man this summer.
Asked for his prediction for the 'other' Ashes, he mused: "A great question. I'm a realist, and if we bat well, we'll win - but if we don't bat well, it's gonna be a hard game.
"And with how good the England crowd is, it's going to be a tough one. I love the Barmy Army, they're very passionate fans, and I just love the way they get behind their country.
"I wish sometimes we were a bit more passionate like that."
At least, Munster himself could never be faulted on that score.
