The 37-year-old star said she would describe herself as an "out of work actress," reported Contactmusic.
"I'm happy to come for an audition so feel free to call my agent! I love Peter Capaldi, I have worked with him in the past but he's not there anymore..." Brook said.
Capaldi, 58, has been the 12th Doctor since 2013 but recently announced he would be quitting in the role at the end of series 10.
Speculation has since been rife about who will replace him.
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