The eight-round cruiserweight bout will be the American's first fight since a sixth-round stoppage defeat by former heavyweight champion Anthony Joshua in Miami last December, a setback that left the 29-year-old with a broken jaw and required multiple surgeries.
"This is a dangerous fight," Paul said in a social media video on Tuesday.
"Cedric has been in there with killers his whole career. He's a two-time world champion and he's not scared of anybody... If he wins, I will hang up the gloves and call it a day, but if he loses, the man who calls himself 'The Best' just got beat up by a YouTuber with a titanium jaw."
Doumbe, a two-time kickboxing world champion with a 75-7-1 record and 45 knockouts, has spent most of his combat sports career outside the boxing ring.
Since switching to mixed martial arts, the 34-year-old has won six of his seven professional bouts, including a nine-second stoppage of Jordan Zebo in September 2023.
Paul, who made his name as a social media personality before entering professional boxing, has a 12-2 record, with losses to Britain's Tommy Fury and Joshua.
Paul and Doumbe will face the media at promotional events in Paris on November 10 and Dubai two days later.
