Dan Aykroyd doesn’t think the OG ‘Ghostbusters’ cast will continue in the franchise

Dan Aykroyd sees no future for himself in the Ghostbusters franchise.

While you’re talking to The New York Post about his History Channel series The Incredible with Dan Aykroydthe actor – who starred and co-wrote the 1984 original Ghostbusters film – revealed that he doesn’t think he and former costar Bill Murray will return to the franchise.

“I don’t see that coming,” said 72-year-old Aykroyd. “I don’t see where they would need us to continue it.”

The Saturday evening live alum spoke optimistically about the future of the franchise, specifically pointing to 2021’s success Ghostbusters: Afterlife and 2024 Ghostbusters: Frozen Empireboth starring Finn Wolfhard, Mckenna Grace and Paul Rudd.

“They have a whole new cast and whole new ideas,” he continued. “I think they’ll probably continue to push it beyond the originals, which they should do.”

Aykroyd played paranormal investigator Ray Stantz in the original Ghostbusters film, hunting for ghosts alongside fellow ghostbusters Murray, 74, Ernie Hudson, 78, and the late Harold Ramis, who died in 2014 at the age of 69.

The franchise welcomed an all-female reboot in 2016, starring Melissa McCarthy, Kristen Wiig, Kate McKinnon and Leslie Jones as the ghostbusters.

The PEOPLE Puzzler crossword is here! How quickly can you solve it? Play now!

In an exclusive interview with PEOPLE earlier this year, Aykroyd fervently defended the 2016 episode, which received mixed reviews at the time.

“I liked the movie [director] Paul Feig made with those spectacular women,” he said. “I was mad at them at the time because I had to be a producer there, not doing my job and not arguing about costs. And it may have cost more than it should have, and they all do.”

“But boy, I liked that movie,” he continued. “I loved the villain at the end. I loved it so much. And of course, Kate McKinnon and Leslie Jones and Melissa McCarthy and Kristen Wiig, you’ll never do better than that. So I’m going to go through the record says I I’m so proud that I was able to license that film and have a role in it, and I fully support it, and I’m not besmirching it at all works really great among all that have been made.”

Aykroyd’s latest project, The Incredible with Dan Aykroyd, recently returned to television for a second season on November 15.

“I’m back! The harrowing ride continues,” says the My girl actor wrote on Instagram ahead of the release.

Never miss a story: Sign up for PEOPLE’s free daily newsletter to stay up-to-date on the best of what PEOPLE has to offer, from celebrity news to compelling human interest stories.

The series explores “the strangest yet true stories in human history, brought to life through dynamic recreation, immersive graphics and compelling archival pieces,” according to the show’s official synopsis.

The Incredible with Dan Aykroyd airs new episodes every Friday at 9pm ET on the History Channel.