Arnold Schwarzenegger Jokes About Powerful 'Gene Pool' Behind Daughter Katherine's Baby on the Way

Arnold Schwarzenegger opens up about becoming a granddad for the first time — and why there's "a lot of power" surrounding daughter Katherine's pregnancy

Arnold Schwarzenegger can't wait to be a grandfather!

The actor and former California governor, 72, chatted with Jimmy Fallon via video call for Monday's at-home episode of The Tonight Show, where he opened up for the first time about daughter Katherine Schwarzenegger expecting her first child with husband Chris Pratt.

"Can you believe that? That is really exciting news that Katherine now [is] pregnant and [is going to] have a baby — I don't know when exactly, but sometime this summer," Arnold said. "And inevitably, I'm really looking forward to playing around with whatever it is, she or he, and [having] some fun."

He also noted that the pregnancy is "unique" as far as their combined family "gene pool" is concerned: "There's three gene pools here. You can do Kennedy, Schwarzenegger and Pratt."

"I mean, we can do anything. We can go and solve the Cuban Missile Crisis, we can go and kill Predators with our bare hands and we [train] dinosaurs," Arnold joked. "Think about it. That is a lot of power here."

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Arnold Schwarzenegger talks Katherine's pregnancy
Arnold Schwarzenegger (L); Katherine Schwarzenegger and Chris Pratt.

But the "worst thing," quipped the Austrian-born star, "is if this kid ends up, you know, with my accent. I mean, that's what we don't want."

Arnold — who's a dad of five children, including Katherine, 30, and Patrick Schwarzenegger — says "the trick of" fatherhood is simply communication.

PEOPLE confirmed Katherine and Pratt's baby news last month. The couple wed on June 8 of last year during an intimate ceremony in Montecito, California.

The baby on the way will be The Gift of Forgiveness author's first child while Pratt, 40, is already dad to 7½-year-old son Jack, whom the actor shares with ex-wife Anna Faris.

<a href="" data-inlink="true">Chris Pratt</a> and <a href="" data-inlink="true">Katherine Schwarzenegger</a>

RELATED VIDEO: Chris Pratt Won Over Father-in-Law Arnold Schwarzenegger in the Gym: "He's a Strong Guy"

Speaking with Extra in January, Arnold said that while he was excited for his newlywed daughter and her husband to have children, the decision on a timeline was in their hands.

"I don't push it because I know it's going to happen eventually. It's up to Chris and her when they want to do that," said the Terminator actor and former bodybuilder. "I'm looking forward it to, yes."

A source previously told PEOPLE that the Guardians of the Galaxy star was initially attracted to his wife's strong spirituality and bond with her family.

"They're very compatible and have a lot in common," said the insider. "Family is very important to both of them, as well as their spirituality."

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