The 28-year-old star met Cyrus on a trip to Los Angeles after chatting with her on Twitter and is a self-confessed fan, reported Contactmusic.
Allen insists the satirical video for her comeback single 'Hard Out Here' wasn't an attack against the 'Wrecking Ball' hitmaker, despite it showing her surrounded by twerking scantily-clad dancers.
"I'd never met her before so I couldn't say we are really great friends but I do really like Miley. She's funny, witty and clever, I love what she does. I think her and Lorde's album have had the most plays in my car this year. I never went on record saying the video was a direct pop at her - it wasn't.