"It's definitely not something I'm looking for," she tells the October issue of Elle UK.
Though Hudson, 31, and rocker Chris Robinson split in 2007, the divorce, she says, "doesn't put me off."
"I'll just see what happens. I think a lot of times people are terrified of love and stop themselves from experiencing it," she tells the magazine. "I don't ever want to get that jaded."
While Robinson, with whom Hudson has a son, Ryder, 6, has since started a family with wife Allison Bridges, the actress has also moved on.
Her rocker beau, Muse frontman Matthew Bellamy, is "lovely," she says, adding that the two "are just learning about each other and it's wonderful."
As for her new outlook on relationships, the actress is fairly simple. "I do believe in love," she says. "I believe that when you really open yourself up to love, it's the most beautiful thing."