In a teaser for the special, set to air on Nov. 20 (which is also the release date of her highly anticipated album 25), the London-born singer belts out the lyrics to the emotional song.
The mother of one is wearing a calf-length green dress with her blonde locks hanging in waves. Watch the preview clip here:
Adele released "Hello," the first single off 25, on October 23. It is the first song to rack up a million U.S. downloads in its first week.
The clip also includes a first look at her interview with Norton. The "Someone Like You" singer discusses the new album, her nearly three-year absence from the music scene and her trouble handling her own social media accounts.
"It was that thing of do I or don't I want to go back to my music. Obviously I do," the 27-year-old said of her comeback. "I just wanted to make sure that everything was in place for me to do it so that I could do it properly, you know?
"I can't do anything else. This is all that I like doing."
Although her relationship with music is thriving, Adele said her relationship with her Twitter account is another story.
"I'm not a drinker anymore, but when Twitter first came out I was, like, drunk tweeting," the 27-year-old said after revealing that she's no longer allowed access to her account.
"I nearly put my foot in it quite a few times. So, yeah, my management decided that you have to go through, like, two people and then it has to be signed off by someone.
"But they're all my tweets. No one writes my tweets, they just post them for me."
Adele is also planning to complement the BBC appearance with her first U.S. concert in four years at Radio City Music Hall on Nov. 17 (information on the ticket lottery perform on Saturday Night Live on Nov. 21, appear on The Tonight Show Starring Jimmy Fallon Nov. 23, and the Today show on Nov. 25.