The English actor, who has scooped awards for his portrayal of the TV detective since 1989, is keen to tread the boards in the title role but is in two minds about the production.
"I am in debate at the moment, not with the producers but in my own mind as to whether to take Poirot on to the stage - part of me is quite keen to do it," he told The Stage.
"Jeremy Brett did it with Sherlock Holmes and had a very nice time but Poirot has always been for me, someone on the screen. However I could be persuaded either way - it could be exciting."
David already has firm ideas about how the play should look.
"I don't want to be in a country-house drama as Poirot on the stage," he said.
"If we did it, it would have to be a huge story with a fantastic set. It would have to be really worthwhile doing. We don't want another whodunnit to run for 30 years."