It's safe to say these two won't be cooking any gourmet recipes together or discussing the latest style trends any time soon.
During an appearance on Watch What Happens Live Wednesday, a viewer asked Joan Rivers about the biggest backlash she's received from subjects of her Fashion Police critiques.
"The worst criticism was, ugh, Gwyneth Paltrow," the comedian answered with a groan and without any hesitation. "She came and yelled at us, but she stood up. She can't sit down cause she's got a stick up her rear end."
Cut to Andy Cohen covering his grinning face.
The 80-year-old New York native continued, "The world's most beautiful woman voted by Helen Keller and Stevie Wonder. Not my favorite."
"Boy, you love a Helen Keller joke, don't you," Cohen quipped.
It's no secret that the Oscar winning actress and the Fashion Police star have a bit of a rocky history.
The Goop goddess memorably took a jab at Rivers' face and other cosmetic procedures in Harper's Bazaar last year.
"I've probably tried everything," the 41-year-old told the magazine. "I would be scared to go under the knife, but you know, talk to me when I'm 50. I'll try anything. Except I won't do Botox again, because I looked crazy. I looked like Joan Rivers!"
But Rivers didn't mind that Paltrow made a joke about her looks.
"I'm thrilled," Rivers told E! News. "I'm thrilled about this because it means she watches Fashion Police!"
(E! and Watch What Happens Live are both part of the NBCUniversal family.)