The Oscar-nominated actress is close friends with the rocker’s daughter Zoë Kravitz and the pair often spend time together.

Jennifer enjoys visiting Zoë and her family but admits she made a fool out of herself when she spotted Lenny’s impressive collection of awards and tried to imagine what it would feel like to win one.

“I was round Lenny Kravitz’s house. Anyway, I was all by myself in his home and I looked around and I saw his collection of Grammys. I just couldn’t resist, so I went and grabbed one and started giving an imaginary acceptance speech,” Jennifer explained in an interview for Marie Claire. “Next thing, I just hear this deep voice from behind me go, ‘So, how does it feel, Jen?’ I turned around and there’s Lenny with this huge bodyguard friend. I was gonna come up with something about polishing it. But hey, I’m fooling no-one.”

The 20-year-old star was thrilled to land a role alongside Zoë in new movie X-Men: First Class. Jennifer plays Raven in the superhero film and has discussed the pressure on young actresses to be thin. She enjoys eating healthily and doesn’t believe in extreme dieting unless it is crucial to the role.

“I understand I’m an actress and I have a job and I have to be in a certain shape, and I’m fine with that. But I do want the stick-thin trend to end,” she added. “I’ve been told to lose weight for so many movies. For The Hunger Games it’s something I agree with. She’s hunting for food. But I’ve always had the same mentality; if I have to give up a small part of myself to make a role a little better, then I’ll just do comedies. Because it’s not worth it.

“I’ve told someone that I’m not going to lose any more weight. For X-Men. I don’t know, I’m probably going to get in trouble for that.”