It was recently reported that she's looking for a home in Los Angeles - and it may just be because she has plans to embarked on a Hollywood acting career.
According to the Daily Mirror, the 29-year-old British singer is currently in talks to appear in the upcoming Fifty Shades Of Grey sequel.
The newspaper reports that she recently met with director Sam Taylor-Johnson at Hollywood's Chateau Marmont, where it is said they chatted for 90 minutes about a possible role.
A source said: "They were definitely making some plans. They are friends, and move in the same circles in London, they're in that trendy set. Lily would be the perfect person to work on the next Fifty Shades movie."
However, when contacted by MailOnline, a spokesperson for Allen said that the claims were untrue.