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The actress said she is keen to star in the Disney version of Lewis Carroll's 1865 children's classic.
She told Harper’s Bazaar: "I just hope they don't want an unknown, I really want this part."
Burton will write and produce the film, which will feature a mix of live-action and performance-capture animation similar to the kind used in Beowulf.
The Sweeney Todd director said: "It's just such a classic, and the imagery is so surreal. I don't know - I've never seen a version where I feel like they got it all. It's a series of weird adventures, and to try to do it where it works as a movie will be interesting.
"The stories are like drugs for children, you know? It's like, 'Whoa, man.' I think it's an interesting challenge to direct."
More: Movies, Alice in Wonderland
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