The new couple met only a week ago at the Power 106 All Stars Game at the Galen Center in Los Angeles on Sept. 20. A source says that Barker "really likes Rita."
"They're really into each other and have been hanging out since they met," the source reveals.
A day after the game, Barker took to Instagram to share a photo of the two, snapped by photographer Willie Toledo.
"Me and the beautiful @ritaora at @power_106 #Power106AllStars," Barker captioned the photo.
Ora reposted the pic on her own Instagram, writing, "Nice to see you too."
The 24-year-old singer wore a black and white cheerleader outfit to the event, hosted by the Los Angeles-based hip hop station.
"Today Ima be your cheerleader @Power106LA coz we can!!! #bodyonme," she tweeted, with a pic of her wearing the uniform. The back of the crop top was embroidered with the title of her new hit single, "Body On Me," featuring Chris Brown.
Barker was married to model Shanna Moakler from 2004 to 2006. They share two kids together, Landon, 11, and Alabama, 9. Over the summer, Barker dated UFC ring girl and model Arianny Celeste.
Ora recently split from her boyfriend of over a year, Tommy Hilfiger's son, Ricky Hilfiger, in July. Ora was also previously linked to Calvin Harris in June and Rob Kardashian in 2012.
Even though Ora ended things with Kardashian a while ago, she left on a good note with the family. Watch the video below to see highlights from her hangout with Kardashian's stepsister Kendall Jenner at amfAR's 22nd Cinema Against Aids Gala in France back in May.