The couple began seeing each other this summer.
Swift, 22, is currently on tour and Conor, 18, is a senior in high school.
"I think she's fantastic and I couldn't be more thrilled," Rory Kennedy told UsMagazine.com at the Creative Arts Emmy Awards in Los Angeles during the weekend. "She's a good friend of our family and we all adore her and love her. It's great to have her around."
Alanis Morisette debuts new blonde hair