The actor and former governor of California was enthusiastic about the brothers’ future in Hollywood

Arnold Schwarzenegger is a fan of the Kelce brothers — and he believes they’re making a play for Hollywood!

In a guest spot on the latest New Heights podcast, the actor and former governor of California told Travis and Jason that as a longtime listener of the show, he thinks they may be preparing for a new phase, and possibly even bigger stage.

“I’m not stupid, right? There’s a reason these guys are out here together in Hollywood,” Schwarzenegger, 76, said, as the brothers laughed. “There’s all kinds of interviews being scheduled for movie parts. You guys have it lined up, you just don’t want to give it away right now.”

While they didn’t elaborate about why they were in L.A., Travis and Jason have spoken in the past about exploring opportunities in the entertainment industry.

Last year, the Kansas City Chiefs tight end, 34, told PEOPLE that he was “definitely interested” in pursuing more acting gigs after his successful experience as a host on Saturday Night Live.

Travis recently served as an executive producer on My Dead Friend Zoe, which premiered at South by Southwest in Austin last month, and he is producing an upcoming documentary about the artist Jean-Michel Basquiat called King Pleasure. He’s also in talks to host a reboot of Are You Smarter Than a Fifth Grader, a source confirmed to PEOPLE last month.

Meanwhile, Jason, 36, has said that he is keeping his options open, following his retirement from the NFL after 13 seasons with the Philadelphia Eagles. He recently appeared in a cameo on Abbott Elementary, and he’s also said he would like to still “be involved” with the Eagles organization in the future.

In an appearance on the Today show on Monday, Jason’s wife Kylie Kelce said she supports any future moves her husband might make.

“I think nothing is off the table at this point,” Kylie, 32, said. “He’s my husband so I’m biased, but he’s so good at everything he tries, it’s kinda a pain in the butt. He said nothing is off the table. I think he’s an ideas guy so I think he’s just letting them brew and see what happens.”

On New Heights, the brothers got an endorsement from Schwarzenegger.

“You’re really talented, and you speak well,” the FUBAR star told them. “And you’re full of energy and you ask interesting questions and you say funny things.”