Us Weekly is carrying the scoop, saying the couple were first seen together a year ago and were photographed at a benefit by the Red Hot Chili Peppers called the Silverlake Conservatory of Music Gala.
Khalsa, 50, who is also a jewelry designer, is being described as "earthy" (whatever that means) and "very strong."
She "has a beautiful mind. That’s what he’s attracted to," says Us Weekly's source.
Khalsa is also "much more low-maintenance than the women he’s been with in the past."
Apparently things aren't super heavy-duty between them, says the source:
“Brad’s not in that mind-set. Sat is very special to him and someone he enjoys spending time with.”
He's probably referring to the fact that he and Jolie have a robust family together with six kids: Zahara, 14, Shiloh, 13, Vivienne, 11, Maddox, 18, Pax, 15, and Knox, 11.
Pitt also recently gave up drinking, which happened after his breakup with Jolie, so maybe this is all part of a larger picture.