The HBO television series spawned an initial feature film in 2008, followed by Sex and the City 2 in 2010.
Sex and the City star Cynthia Nixon told Digital Spy earlier this year that another film is entirely down to writer-director Michael Patrick King, but Davis has appeared more optimistic in a new interview.
"I don't think [a third film] is a pipe dream, there is discussion," Davis told Haute Living.
"People talk about it amongst the people who are the players, but I don't know if it will come together. It would be very exciting if it did."
She added: "I'm going to have a little talk with Cynthia the next time I see her!"
Davis's co-star Chris Noth called Sex and the City a "cancer" earlier this year, adding: "Global media, you can't get away from it. I'm laughing.
"There is not much for me to say about it anymore. It is hard to try and rediscover new ways for yourself to be excited about it."
HBO originally aired Sex and the City from 1998 until 2004.
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