While she hasn't spoken directly about their relationship, she does reveal in a new interview what she wants in a mate.
"I look for all the same things I would in a friend," she says in the February issue of InStyle. "Obviously, you need the sexual attraction too, so it's like your best friend who you are also really attracted to."
Portman, 29, also confesses to an adventurous streak. Asked what she'd do if she could be anonymous for one day, she has a surprising answer: "I would make out in the park!"
"That's the thing I would most enjoy doing in New York, and it's something I'll never do," she adds. "I'd also have loud, public conversations with my friends about personal things. Even if no one is paying attention – and most of the time, no one cares – you never know who is at the next table."
She also cringes at the "super-awkward" solo sex scene she did for Black Swan, saying, "anyone who tells you otherwise is not being honest ... or they're a little off!"
As for what's on her to-do-list for the next 10 years, the actress – who also stars in the upcoming romantic comedy No Strings Attached, with Ashton Kutcher – says she wants to be "in a happy relationship, with children."
It seems that Portman, who is pregnant with her first child, is on her way to achieving that goal.