Arnold Schwarzenegger is keen to make a movie with Patrick Schwarzenegger and Chris Pratt

He told E! News of the possibility: "It's one of those things that if there's a great script, then of course, we would do it.

"But you can't just make up this stuff. You can't just say, 'OK, let's just put the three together in a movie and not have a great script.' "

The Fubar star called on filmmakers to make the project happen.

He said: "You don't have to talk about it, just do it."

Arnold - who, as well as Katherine, 35, and Patrick, 31, also has Christina, 33, and Christopher, 27, with ex-wife Maria Shriver and Joseph Baena, 27, with Mildren Baena - is also open to the idea of following in his son's footsteps and starring in The White Lotus.

Asked if he'd be interested in a role in the anthology series, he said: "Whenever I see something good, I am interested in it, so we will see."

The former Governor of California is delighted to witness Patrick's success because his son has always been interested in acting.

He said: "Patrick always had a love for show business. He has spent a lot of time on the set with me when he was a kid. He was doing his homework in my movie trailer, he was watching me shooting on stage. I think he got the desire right then and there."

Meanwhile, the veteran action star is excited about the new season of Fubar, even if he finds certain physical scenes "very, very tough" these days.

He teased: "The second season is a lot, a lot of great, great action, and also really funny moments.

"The actual sequences are very, very tough to do, especially when you do night shoots and all that. But it's a lot of fun."

While Arnold is proud of Patrick, he recently admitted he was shocked when his son stripped naked in The White Lotus.

During a joint interview for Variety's 'Actors on Actors' series, he told his son: "I couldn't believe [it].

"I said to myself, 'I'm watching your show, and I'm watching your butt sticking out there.' And all of a sudden, I see the weenie.

"What is going on here? This is crazy.

"Then I said to myself, 'Well, Arnold, hello. You did the same thing in Conan and Terminator, so don't complain about it.'

"But it was a shock to me that you were following my footsteps so closely."