The 'Rolling In The Deep' singer will be among the guests on the BBC programme on Friday (11 February).
It comes not long after the star cancelled her Las Vegas residency at just 24 hours notice.
The Easy On Me singer tearfully announced on social media that she was postponing her concerts, telling fans: "I'm so sorry, but my show isn’t ready."
Apologising to those who had already shelled out on travel and accommodation, the star said problems had been caused by COVID and delivery issues.
Adele came under fire from some over her announcement, with Piers Morgan accusing her of disappearing “up her rapidly diminishing celebrity backside”.
Writing in The Sun, Morgan said he had been reminded of Queen frontman Freddie Mercury's song 'The Show Must Go On'.
He wrote: “It’s a disgrace... If Freddie Mercury can make an album as he was literally dying, then she could probably have found the inner strength to pocket $500,000 a night to sing a few songs even if the set design wasn’t absolutely perfect.
"That would have been the right thing to do for the fans she professes to love so much.”
The Graham Norton Show is on BBC One on Friday 11th February at 10.35pm.
Watch: Adele to perform at Brit Awards