Connie Britton is sharing her thoughts on the Friday Night Lights reboot.

The actress, 58, reflected on her time starring on the original drama series during an interview with Parade for its March cover story. Now well-known for her beloved character Tami Taylor, Britton revealed she almost didn’t take the role after having only a small part in the preceding 2004 movie.

“In the film, there was very little for me to do and even less so by the time it came out — whatever I had done was mostly on the cutting-room floor,” she explained. “And so when the TV show came around, I said, ‘No, thank you.’ I was really hoping for something more for myself than playing sort of the fly-on-the-wall wife character in a football show.”

Director Peter Berg, however, was “very persuasive,” and Britton said she ultimately decided to take on the project.

“I really have to say, I worked pretty tirelessly with Pete, but then also with Jason Katims, who came in to run the show, really sort of standing up for the woman’s voice in that community, in that world,” she recalled.

The series, which ran from 2006 until 2011, starred Britton, Taylor Kitsch, Minka Kelly, Jesse Plemons, Michael B. Jordan, Zach Gilford, Aimee Teegarden and Kyle Chandler as they navigated their lives on and off the football field in a rural town in Texas.

In December, news broke that a Friday Night Lights reboot was in the works at Peacock with an all-new cast, but Britton won’t be appearing in it. In fact, she told Parade that it is “barely on her radar.” Still, she said she hopes the new cast will find a “sense of discovery there in terms of what they’re committing to and trying to accomplish.”

Britton has been open about her lack of interest in participating in a revival of the popular show, which ran from 2006 until 2011. She told Entertainment Tonight in 2021 that she didn’t think it would ever return.

“[I don’t see] us going back into those stories and those particular characters’ lives,” she said at the time. “We’ll do a reunion for sure, like a cast reunion, [but] I don’t see them going back into that story, at least with this cast.”

“I heard inklings a few years ago that they were gonna make another Friday Night Lights,” The White Lotus alum added. “Now meanwhile, we know we’ve already had a movie, we already had this TV show, and then if they were to do it again with like, a whole different iteration of it, I don’t know. I would think that would be sort of odd.”

Britton also admitted that it would “be nice to see” the characters in the future in some way.

PEOPLE first learned in November that a reboot was in the early stages of development with original showrunner and executive producer Katims and writers Berg (who directed the 2004 film) and Brian Grazer. NBC later confirmed the news a month later.

Per an official logline, “Following a devastating hurricane, a rag tag high school football team and their damaged, interim coach make an unlikely bid for a Texas High School State Championship becoming a beacon of light for their town.”

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.

Friday Night Lights is streaming in full on Netflix.