The 25-year-old actor – who is dating his 'Twilight Saga' co-star Kristen Stewart - adopted his dog Bear from a shelter earlier this year because he felt lonely, so he likes to "smuggle" him into various countries when he's shooting a movie.
Speaking on ‘Live with Regis and Kelly,' he said: "He was in one those shelters where they don't keep them around for very long. He was on his sixth of seven days.
"Just by coincidence – this doesn't happen in my life very often – but I ended up being on a private jet like three days later.
"It was kind of ridiculous. Literally three days after that, we were going to L.A. and he had his own seat [on the plane]. I've smuggled him over borders many times."
But Robert isn't the only star to have adopted a puppy. After Justin Bieber and his girlfriend Selena Gomez – who has five rescue dogs - visited Winnipeg animal rescue center D'Arcy's ARC last month, they fell in love with a 10-week-old husky, which they named Baylor.
D'Arcy Johnston, chief executive officer of the rescue center, said: "They spent a lot of time with the puppies. I was told that Selena was missing the dogs that she has at home.
"I wasn't expecting her to adopt a dog while she was on tour and has a busy schedule. Baylor probably would have had a bad life or a very short life. But he got rescued and brought to our shelter and is now going to live a very good life."