Burnham is set to be part of the star-studded event for the Disney+ film - which chronicles the British rockers on their reunion tour last year - at London's Leicester Square on September 7.
"Burnham is a big fan of Oasis and attending the premiere would be the icing on the cake of his year," a source told The Sun on Sunday newspaper.
"He loved it when Noel and Liam (Gallagher) reunited and took over Manchester for the record-breaking Live '25 gigs last year.
"Burnham has been speaking about his Britpop music taste on TikTok and this would be the perfect opportunity for social media content."
In a recent TikTok video, the British leader ranked Oasis - who had split back in 2009 - at number one when asked to "blind-list" his favourite bands.
It was revealed earlier this year the Gallagher brothers had given their first joint interview in 25 years for the documentary, which has been written by Steven Knight.
"I wanted to tell the story of the brothers and the band, but just as important, the story of the fans whose lives the music has touched and sometimes changed forever," Knight said.
"It is also the story of how music and songwriting can unite generations, cultures, countries and in a time of spite and division, give us all some reason to hope."
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