The 'Die With a Smile' singer got engaged to Michael Polansky in April after more than four years of dating and while she insisted nothing has been planned yet, she admitted they are exploring the possibility of just the two of them visiting a local courthouse for the legal ceremony, before celebrating with a take-out.
Asked on 'Jimmy Kimmel Live!' if she's planning a big Italian wedding, she said: "I don't know what we're going to do. We're not exactly sure yet".
"We actually talk a lot about just going to a courthouse just the two of us and [then] ordering Chinese food. But also, knowing me, it could become like a circus with unicorns."
The 'Joker: Folie a Deux' actress also admitted Michael, 46, asked her permission before he proposed to her following a rock climbing excursion.
She said: "We went on a trip together and we went rock climbing. We'd been rock climbing before, which was super fun".
"He didn't propose to me at the top. We climbed up to the top, and we looked around, and we took some photos".
"We went back down and we were just walking back to the room. 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. I was like, 'Yes! It's so OK!'"
Jimmy then asked if Michael had got down on one knee to pop the question.
The 38-year-old star replied: "He didn't. I'm a modern lady, I like what he did."
Gaga recently admitted she thought her businessman beau was joking when he proposed, because he chose to pop the question on April Fool's Day.
Speaking on 'The Graham Norton Show', she explained: "He proposed on April 1st, and I thought he was joking. Then when we went to the Olympics, we were filmed saying hello to the Prime Minister [Gabriel Attal] and I was caught on camera saying, 'This is my fiancé'. I had wanted to keep it a secret!"