"We really don't [have one]," the Killing Them Softly actor promised during an interview with Extra Nov. 26. "I don't know what's going to happen in two weeks. I certainly don't know what the new year is going to bring!"
He then joked, "We may just tape it and then you can air it!"
Pitt -- father to Maddox, Pax, Zahara, Shiloh, Knox and Vivienne -- hinted it will happen sooner than later. "I will admit, we have had some pressure from our kids. We didn't realize how much it means to them. We didn't realize how much it means to us."
The problem, Pitt said, is finding the perfect venue for their big day. "We are both migratory workers," he said of his bride-to-be, 37. "It will be a matter of convenience location-wise."
The shaggy-haired star also revealed he plans to scale back his acting career in the coming years. "I think that's coming pretty quickly. I'm going to be 49 in a month," he told Extra. "I really enjoy producing and I enjoy this opportunity, but I'll be less and less in front of the camera."
This article originally appeared on Usmagazine.com: Brad Pitt: I "Really Don't" Have a Wedding Date Set With Angelina Jolie