Travis Kelce; Ed Kelce; Taylor Swift.Photo:Ed Kelce Instagram; Jamie McCarthy/WireImage

Travis Kelce; Ed Kelce; Taylor Swift

Ed Kelce Instagram; Jamie McCarthy/WireImage

Taylor Swifttook a big step in her budding relationship withTravis Kelceover the weekend — and it made the NFL star nervous.

“Papa Kelce in the spotlight,” Jason, 35, said as he and his brother kicked off a segment dedicated to their dad’s interaction with Travis’ new love interest. “If you were watching the game, you saw something momentous happen, which was Taylor Swift talking to Ed Kelce.”

“You know Dad like I know Dad,” Travis, 34, said, adding, “This is a terrifying conversation. I felt terrible for Taylor for being in this.”

The brothers joked about how a conversation with their father ignites fear in them both. “If you see Dad talking to anybody and you can’t hear what’s happening, who knows where that conversation’s going,” Jason said.

Taylor Swift watches Travis Kelce’s game on Thursday at Arrowhead Stadium alongside his father, Ed Kelce.Jamie Squire/Getty Images

Brittany Mahomes and Taylor Swift watch during the second quarter between the Kansas City Chiefs and the Denver Broncos

Jamie Squire/Getty Images

Their mother,Donna Kelce, on the other hand, they both agreed is “gonna be fine.”

“It’s delightful, it’s gonna be a wonderful conversation,” Travis said of Donna meeting someone new, thoughshe’s already hung out with Swift several timessince her son started seeing the popstar.

All jokes aside, though, Travis, whodefeated the Denver Broncos while Swift and his parents cheered him onat Arrowhead Stadium on Thursday, called Ed the “best f—ing dad in the world” as he shared more about what he and the “Anti-Hero” singer chatted about.

“You can see in this picture all he’s doing is just absolutely pumping her up,” Travis said before revealing that Ed has started listening to Swift’s music “a little more” given the budding romance.

Travis ended the segment with a sweet shoutout to Ed. “Thanks Dad for not making me look bad, partner.”

Wednesday’s episode also saw the football player brothers breakdown Travis’ headline-making weekend with Swift in New York City, including what he called a“spectacular” surprise visittoSaturday Night Live.

“We showed up atSNLhaving the idea of going,supporting Ice Spice,” the two-time Super Bowl champion said. “Her and Taylor are good friends.”

As for his surprise cameo in a skit about what Jason called “Swift mania in the NFL,” Travis said, “I thought it was hilarious and when they asked me to be a part of it I was like, man I’d be honored.”

“It was electric to be back in that place,” he continued of his first time back at the show sincehe hosted it in March. “There is just something about being in that room. And being their first episode this season, I had such a freaking blast man.”

Travis Kelce and Taylor Swift.Gotham/GC Images

Travis Kelce and Taylor Swift arrive at SNL Afterparty

Gotham/GC Images

As the two continue to navigate the early days of their relationship, a source tells PEOPLE that “Taylor’s unlike anyone Travis has dated before” — but he’s more than ready for it.

“It was very unexpected for his friends, but he’s so into her and very, very happy,” the insider said. Some people thought he was just joking around about the bracelet and having a crush on her earlier this summer, but he was serious about it.”

Never miss a story — sign up forPEOPLE’s free daily newsletterto stay up-to-date on the best of what PEOPLE has to offer, from juicy celebrity news to compelling human interest stories.

The two are “having a great time getting to know one another” and “have introduced some of their friends to each other” in recent weeks, the source added.

“Everyone’s getting along and seeing how much fun they have together. They make a very cute couple.”

source: people.com