The British star was named Best Supporting Actress for her role in 2007 drama Michael Clayton and it was Swinton's first time attending the biggest event in the Hollywood calendar.
The actress acknowledges the professional clout that came with landing such a coveted honour, but insists it is ""not really"" of any personal significance for her or her kids - who couldn't care less about the Oscar statuette.
She tells W magazine, ""I have to admit that I'd never seen the Oscars on television and really had no idea that it was so important. It was a very long show, but it did move me up from the children's table, professionally, in Hollywood.
""When I brought my Oscar home and showed the children, nobody knew what it was. The thing sat on the kitchen table for two weeks. It was kind of meaningless to them.""
Swinton decided against capitalising on her new-found status in Hollywood and instead chose to return to the smaller, independent films that she was more moved by.
She adds, ""After winning, I went straight to Milan (Italy) and started I Am Love. Since then, I haven't done another Hollywood film.""