Tests will take place at a mansion in Sussex, and will include seeing how the dogs respond to various stimulation tasks. They will also be taken to the top of London landmarks, and on a speedboat on the Thames to see how they react to heights and speed.
More details will be revealed when the show airs on Sky 1 next weekend.
The plane's controls will be specially modified to make it possible for four-legged aviation pioneers to press buttons and steer, the Daily Mail reported.
The show is being filmed by Oxford Scientific Films, and a spokeperson said experts and trainers would examine the dogs' skills in "communication, empathy, memory and reasoning before tasking them with some breathtaking challenges".
"The top three go forward to flight school where under the stewardship of New Zealand driving dogs star, Mark Vette, they train for a world first - could one of them really fly an aeroplane?"
However, not everyone is on board.
University of British Columbia professor of canine psychology, Stanley Coren, expressed his concerns to The Independent.
"Given that we would not expect a human 3-year-old to be able to fly a plane, I would not expect that a dog could do so either."