Hurley, 41, also said the couple was considering having a child together.
Asked if it was time to get married, Hurley told the Italian edition of the magazine Vanity Fair: "I can't tell you the exact date, but it is very close."
"We are also thinking of having a child," added Hurley, who already has a 4-year-old son with U.S. movie producer Steve Bing.
Hurley, who has appeared in films including "Bedazzled" and "Austin Powers: International Man of Mystery," has been dating Nayer since 2003. Asked about how she'd feel as a married woman, Hurley said, "I'll tell you once I am married.
"But I've lived with Hugh Grant for 13 years, we were like husband and wife. I don't think there will be much difference."