Radio 4 recently announced that the series, which was recorded in Toronto during September's Invictus Games, will be released on December 27.
Ahead of the show, Kensington Palace released a hilarious clip of the pair clowning around before their chat, with the groom-to-be admitting he was "nervous" about the encounter.
"You're excited about this; I'm nervous about this", the prince said.
"It's fun. I'll interview you if you want", Mr Obama replied.
"No no, let's keep it this way", Harry says.More news: Apple's Latest iMac Pro Will Be Available in Malaysia Starting from Tomorrow
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The Prince and the former president have enjoyed a relaxed, public friendship for years after becoming acquainted during the first Invictus Games in 2014.
"Do I have to speak faster because I'm a slow speaker?"
Prince Harry told Obama that if he does use the accent he will get "the face" with the royal then displaying his disapproving face.
According to the Kensington Palace Twitter account, the conversation between the two will include his post-presidential life activities, training the next generation of leadership through his foundation and more. "Because I am a slow speaker", Obama asks the prince before an interview that will be aired December 27. At that point, he shows off an awfully stern look at which the former commander-in-chief laughs, "I don't want to see that face!"
The Obamas have been touted as likely invitees to Prince Harry's forthcoming wedding to Meghan Markle.