Everett is fronting a two-part series called Love For Sale, focusing on hookers and their clients.
He will interview Brand, a self-confessed former sex addict, about his previous encounters with prostitutes.
Everett will also talk to a rent boy in Israel, a Brazilian escort, and sex workers in Paris.
Channel 4 commissioning editor Sara Ramsden says: "Rupert has a unique authorial voice and his opinions range from the theological to the ideological. It's great to see someone stand up so strongly for the dignity of women living with very difficult choices."
