The Adulthood actor is said to be frequently annoyed by people who come up to him believing he is the reality TV star.
"Danny hates TOWIE," a source told The Sun.
"Nothing winds him up more than getting asked to have a picture taken because people think he's Mark Wright, but it's happening all the time."
Wright was reported to have landed his first film role in February opposite Dyer and Kelly Brook.
A source at the time said: "He loves The Business and Football Factory, so it's a dream for him to work with Danny."
Wright recently revealed that he has been offered a couple of film roles.
Watch Mark Wright talk to Digital Spy below: