The pair sparked rumors of a new romance after Jones was photographed walking hand-in-hand with the filmmaker in Santa Monica, Calif., this week.
The “Mad Men” actress stars in Miller’s new western, “Sweetwater,” which is co-directed by his twin brother Logan Miller.
Jones became a first time mother to son Xander last year, but she has refused to name the child’s father.
She has previously dated actor Ashton Kutcher and singer Josh Groban.
