Lady Gaga Reveals She and Fiancé Michael Polansky Talk About Having ‘Courthouse’ Wedding with 'Chinese Food’

Lady Gaga is opening up about her potential wedding plans.

While appearing on Jimmy Kimmel Live! on Tuesday, Oct. 1, the Grammy winner, 38, shared how she and fiancé Michael Polansky have some low-key ideas for their big day.

“We actually talk about going to the courthouse just the two of us and ordering Chinese food,” Gaga told host Jimmy Fallon. “But knowing me, also, it could become like a circus with unicorns,” she jokingly added. 

Gaga, who was on the show to promote her new film Joker: Folie à Deux, also revealed the romantic way Polansky popped the question.

“He proposed to me right after my birthday,” she said. “So my birthday passed and I was like, ‘Well, I thought he was going to porpose but then maybe…’ ”

Gaga then shared that Polansky “threw me a beautiful birthday dinner” and they then “went rock climbing” after having previously gone together “which was super fun.”

“For real? You climb rocks?” Kimmel asked.

“I mean, I do now,” Gaga said, adding to the audience as she put her hands around her mouth, “I’d do anything for love,” while laughing.

Speaking further about the proposal, she continued, “He didn’t propose to me at the top. We climbed up to the top ... took some photos and then we went back down. And we were just walking back to the room and talking and he said …it was very Michael, to ask me if he could ask me.”

“He wanted to know if it was ok to propose before he proposed and I was like, ‘Yes! It’s so OK!’ ” Gaga exclaimed. 

“So wait … he didn't do it at the top? Are you sure this guy's ok?” Kimmel joked.

“I think it was smart! It was safe, safe at the bottom,” Gaga said. “He had the ring in his backpack so it was so super cute. He like, got in his backpack and pulled it out.”

When asked by Kimmel if Polansky got down on one knee, Gaga responded, “No he didn’t. But you know what, I’m a modern lady, I like what he did.”

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. 

At the Los Angeles premiere of Joker: Folie à Deux, on Monday, Sept. 30, Gaga spoke to PEOPLE about how life has changed for the better with Polansky.

“I just love my fiancé so much," she gushed. "He's my best friend. He's my partner, and I just feel like when you are with your best friend, everything changes.”

Gaga also shared what it was like collaborating with her fiancé on her latest studio album, Harlequin — which accompanies the Joker sequel — as co-executive producers together on the project.  

“It's just the first time that we decided to fully just go into it and do it. It just felt right,” she told PEOPLE “We were both so excited.”