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The Transformers star has been lined up to play the character in an upcoming romantic comedy.
The 25-year-old has been chosen to play the main role in the Gil Kenan-written movie, reports Variety.
The film tells the tale of a young woman who moves back home to reconnect with her brother but falls in love with his 20-foot tall neighbour (LaBeouf).
AngeleFine Productions described A Giant as "Lars and the Real Girl meets Edward Scissorhands".
Rumours are circling that the film is to be re-named before it's released but trying to make Shia look like he's 20 feet tall must be quite high on their priorities...