During his first visit as prime minister to the remote Island chain, north of Darwin, Mr Albanese was grilled about why he would not attend the upcoming Garma Festival in East Arnhem Land.
In 2022, Mr Albanese used the festival - Â the nation's largest and most significant Indigenous gathering - as a platform to launch the voice referendum, but this year he will take leave instead.
The prime minister said "can't be everywhere" when questioned on Sunday about his absence from the event, which begins at the end of July.
"I've been to the Garma Festival five times as Labor leader, more than any leader of any political party in Australian history," he told reporters.
"I've been to the Northern Territory 19 times, more than the previous three prime ministers combined.
"I'm here at this really important place. It's a historic visit."
The prime minister did the coin toss for a local Australian rules match during his visit to the football-mad region, fielding questions from the media about whether a 20th AFL licence should go to a Northern Territory team.
"I'd love to see a team here in the territory, as I'm sure all Territorians would," he said.
"The Northern Territory has a great history of producing great footballers.
"We'll continue to talk and engage with the AFL. I don't run the AFL."
Former AFL chief executive Andrew Demetriou is among those leading the push for a team based in Darwin to join the league in less than a decade.
Federal Labor member and Tiwi woman Marion Scrymgour joined Mr Albanese for the visit.
"It's always fantastic for me to come back home to my mob on the Tiwi Islands," she said.
