"I am getting recognised much more over there now (in America)," she said, "because of Lady Bird, I think. But I still have that thing in my head though where I think, you know, Justin Bieber is famous, and that's a level of fame that I don't feel a part of at all. So because I don't read any articles about myself - sorry Paul - and I don't look at any photos of myself or interviews, I'm kind of able to detach from it almost completely.
"The only thing that I have noticed now is that I do get recognised more. I've always been recognised at home, but it's happening an awful lot more when I'm away."
Saoirse also admitted that she didn't expect to win an Oscar this year because "everybody knew" Frances McDormand would win it.
"We got a hint the day before that she was going to do something special. My publicist had said to me, 'I just want to let you know that if Fran tells you to stand up at some stage tomorrow night, stand up', and it completely went out of my head," she said in an interview with the Irish Independent's Weekend magazine.
"And then when she won she was like, 'Ok, I'm going to ask everyone to do something', and when she got everyone to share that with her, I just thought what a cool move."
Saoirse also said that she was surprised that her Aer Lingus sketch on Saturday Night Live caused some controversy with people being unhappy about Irish stereotypes being used for laughs.
"I was surprised by that. One of the brilliant things about the Irish is that we can take the piss out of ourselves. And I love Aer Lingus, I've flown with them since I was a child, and one of the most emotional moments for me about going home is when I get on an Aer Lingus flight and I hear the Irish accent and I'm surrounded by people from home. So it was never done in bad taste or anything like that, and you also have to remember, it's a comedy show, and they poke fun at everyone, and they poke fun at themselves, and we had sketches about Brooklyn as well and I wasn't offended. It was all a bit of craic, like."