Johnny Depp joked he'd fly to Australia and "assault" Agriculture Minister Barnaby Joyce if wife Amber Heard is jailed over dog smuggling drama

Johnny Depp isn’t too concerned that his wife Amber Heard could be jailed over the couple’s doggy drama in Australia – because he says they didn’t even smuggle the pups into the country to begin with.

“We were under the impression that we had all the paperwork done with the dogs, we were there with the dogs in front of everybody,” Depp told host Jimmy Kimmel during his Jimmy Kimmel Live! appearance on Thursday.

Heard is charged with illegally importing the dogs – terriers Boo and Pistol – and producing a false document back in May when the couple arrived to Australia for Depp to film the newest installment in the Pirates of the Caribbean franchise. In a TV interview earlier this year, Agriculture Minister Barnaby Joyce threatened to kill the pets if they weren’t flown back to America.

“There might have been other things smuggled,” Depp joked, before Kimmel played a clip from Joyce’s television address from earlier this year.

“What kind of a maniac is this,” Kimmel asked, to which Depp sarcastically replied, “Maybe he’s just doing his job.”

“This sort of like, weird, sweaty … gut man, who decided that you know, two, 5 or 6-inch teacup Yorkshire terriers would harm the country in some way, he’s got a point, especially when you consider that Australia has the most poisonous creatures on Earth,” Depp said.

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In another clip from Joyce’s threat, he called the actor by his character name “Jack Sparrow” and mentioned that he’s been PEOPLE’s Sexiest Man Alive twice.

“What did one thing have to do with the other – that I had been voted some kind of thing?” Depp asked. “I can’t quite equate the two – it was funny.”

Depp said that if Heard is jailed (the charges can lead to up to a 10-year sentence), he’d “fly to Australia and assault that man” so he could join her in prison.

Heard’s court hearing in the case has been adjourned until Nov. 2. Depp, however, has not been charged in the case.

Depp and his band the Hollywood Vampires (which also features legends Alice Cooper and Joe Perry) were rumored to be playing on the building’s roof for the Kimmel episode, but the performance has yet to air.