The group have been approached to make a documentary-style film about their rise to international fame, much like Justin Bieber's Never Say Never.
Asked about a possible film deal, Styles is quoted by the Metro as saying: "We have had a few offers. We like the idea of a documentary-style one."
Previous reports have suggested that One Direction would star in a film co-funded by their label boss Simon Cowell, with James Corden's TV company in line to produce.
The five-piece are currently touring North America as the support act for Big Time Rush and recently claimed the highest first week US Hot 100 debut for a pop group since the Spice Girls.
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Watch the music video for One Direction's 'What Makes You Beautiful' below: