The 32-year-old actor, who appeared on 'The Graham Norton Show', said he is planning to flee from Hollywood following the film's release.
"I am fleeing the country. I am certainly not going to stand in Leicester Square without my shirt, asking people if they enjoyed the movie! I am keeping a low profile," he said.
Dornan, who plays the lead character of Christian Grey in the erotic film, also revealed his wife, Amelia Warner, wouldn't be going to catch the movie in the cinema.