"I'm leery of discussing my relationship because I don't want to jinx it," she admitted. "And I feel like I was so dragged through the press that I [don't want that again]."
She did, however, acknowledge that musicians are definitely her type. Brinkley was married to singer Billy Joel from 1985 to 1994, and they have one daughter together, 29-year-old Alexa Ray Joel.
"I think that artists are the most amazing people because they're constantly creating beauty for the world," she explained. "With all the crazy stuff in the world, there's artists reminding us of our humanity and reminding us of our heart and soul -- what really matters. So I respect artists so much. I absolutely love music as the ultimate art."
Though she agreed that there's one thing about the "Jack & Diane" singer that has to change before they could ever tie the knot -- his smoking habit.
"He has to, the voice is already made," she responded when Stern said that Mellencamp believes his voice sounds better because of smoking. "He has to stop, and the amazing thing about the body is it will heal. It can be repaired after all those years of abuse he's put it through."
So far, Brinkley and Mellencamp haven't been shy about showing PDA when it comes to their relationship. Last month, the two were snapped going on a romantic date at Scalinatella restaurant in New York City.
"They look like they have really fallen for each other," an eyewitness told ET. "Christie looked really happy and was seen giggling at John."