The actor is all set for his 12-week stint in the British Capital for the West End show, "The Elephant Man," in May, reports dailymail.co.uk.
A source told The Sun newspaper: "It has always been Bradley's dream to perform on the West End, but it means he also gets to live with Suki too. Bradley is totally smitten. His family, all love her too and most importantly she has the stamp of approval from his mother, Gloria."
Waterhouse is equally excited to move in with the "Limitless" star and had previously admitted she is ready to "have a home" and settle down.
In an interview with Grazia late last year, she said: "I don't really live anywhere. We're travelling gypsies - it's wherever we're working. But I'm desperate to have a home."
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