"Yeah, I made a joke about [that] earlier this year," Usmagazine.com quoted Perry as saying.
"I was just kind of joking and trying to be funny. I didn't mean anything by it. Comedians are not necessarily to be taken super seriously," she added.
Allen had angrily told UK radio station Capital FM, "I happen to know for a fact that she was an American version of me. She was signed by my label in America as, ''We need to find something controversial and kooky like Lily Allen.''
"And then they found her... I think the lyrics and stuff are a bit crass... When I met her I was bit frosty with her because someone asked her to describe herself. She''s like, ''Aha, I'm like a fatter version of Amy Winehouse and a skinner version of Lily Allen!'' It's like, you're not English and you don't write your own songs, shut up!" she said.