"Yes, Aaron and I are dating," Patrick told The Associated Press.
Rodgers split from actress Olivia Munn in 2017 after a three-year relationship. Patrick in late November ended a five-year relationship with fellow NASCAR driver Ricky Stenhouse Jr.
Patrick and Rodgers have been linked romantically since the start of the new year, right before Patrick began promoting her new fitness book.
She told the AP the two first met at The ESPYS in 2012 and that despite her allegiance to the rival Bears, "I told him a long time ago I'd always root for him as a player.
"Now I am probably going to cheer for the whole team," she added. "Take out the word 'probably.' Now I'm going to cheer for the whole team."
Patrick is shifting her career off the racetrack and into the business of her personal brand. She'd like to close her racing career by competing at next month's Daytona 500 and the Indianapolis 500 in late May, a farewell she has dubbed "The Danica Double."