Sam Claflin jokes to PEOPLE that he's "failing at" being "a cool dad" to his kids: a daughter he and wife Laura Haddock welcomed in January and son Pip, 2

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Sam Claflin‘s favorite role? Dad.

The Adrift star stopped by the PEOPLE Now studios and revealed a little inside information about his family of four that includes wife Laura Haddock and their two children: a daughter they welcomed in mid-January and son Pip, 2.

“Always,” says Claflin, 31, when asked if he’d be open to more kids in the future. “I grew up in a big family, my wife grew up in a big family.”

“When I was asked what I wanted to be when I was older, when I was a kid, I never used to … specify a job. I just said, ‘I want to be a dad. I want to be a good dad, and I want to be a cool dad,’ ” he continues, adding jokingly with a laugh, “I’m failing at those parts!”

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sam-claflin

Sam Claflin

The English actor was away from his family for three months while filming Adrift in Fiji — an experience he reveals is “never gonna happen again.”

“I genuinely was so terrified that [Pip] wouldn’t recognize me and have that horrible [feeling of], ‘He’s changed so much!’ ” says Claflin. “But in the airport, I just remember seeing him coming … and he saw me and he said, ‘Daddy!’ and he just ran.”

“I just didn’t leave his side the whole time,” adds the proud dad.

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Sam Claflin and Laura Haddock

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While the star reveals that he and fellow actor Haddock, 32, felt like a family even before the arrival of their kids (largely thanks to their pup!), he can’t imagine life any other way now.

“There’s a sentence that involved the word ‘children’ and not ‘child’ and I just went, ‘Oh, wow, it’s plural. There’s two of them.’ All of a sudden, we became a family,” says Claflin. “It’s amazing. I love it.”

Adrift, also starring Shailene Woodley, opens Friday in theaters nationwide.