Fans of the hit Tv show have been calling for a third big screen installment following the success of the first two films in 2008 and 2011.
Parker, who played columnist Carrie Bradshaw, told U.S. talk show host Ellen DeGeneres on Wednesday (05Mar14) that there are no plans to make another movie, but Davis admits she is desperate to portray prissy Charlotte one more time.
She tells U.K. Tv show This Morning, "Would I do another? Of course! We'd be thrilled if there was another... I think in our hearts - actually I shouldn't speak for all of us - but I feel like it's unfinished.
"I feel that way, and I don't know if I would feel that way if the fans weren't supportive. But maybe because everyone talks to me every day about it, it still feels so relevant in some way... so it feels unfinished a little bit."