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The Wolverine actor was performing on New York's Broadway when 10-year-old Ava, who was in the audience with a friend, put her hand up while people were applauding, prompting him to call out to check if she was OK, only for him to likely regret inviting her on stage.
He recalled on the Dan and Maz Show on 2Day FM: "I'm like 'Is everything alright?'"
"She says 'Yeah, can we go backstage and hang in your dressing room?'.
"Everyone is laughing and and I say 'Yeah sure'.
"She walks straight up on stage and I said 'Everyone this is Ava'...I said 'Is everything alright, do you want something, you hungry?'
"She said, 'No it's a bit boring'."
However, the 46-year-old star - who also has a son, 15-year-old Oscar, with wife Deborra-Lee Furness - will be hoping his daughter will be more impressed when he performs in Australia later this year.
Hugh's Broadway to Oz stage show runs at the same time Taylor Swift - who is known for bringing famous star guests out during her shows - tours the country and he would be open to singing with her.
He said: "I think it's a great idea. My daughter would love it."
Listen to the hilarious interview below:
