"I come home one day and they're like, this is the new housekeeper. And he's like, 'What's up fam?'"
The joke refers to the 1993 film that sees Robin Williams playing a divorced father who dresses up as a female housekeeper so he can see his children.
The comedy set was filmed on April 30 at the Fonda Theatre Los Angeles, with Kardashian in the crowd.
West claimed in January this year that he hadn't been invited to Chicago's fourth birthday party, but sources close to the Kardashian family denied this.
It was just one of the many attacks on Kardashian and Davidson made by the rapper as he struggled to accept that his ex-wife had moved on.
Davidson devoted a whole segment to this topic in his comedy special, believed to have been recorded in April, during which he reveals he turned to friends for help during the rocky time.
"Yeah it's a really weird thing to go through. Like... there's... because, you know, people try to give you advice, but even friends that are, like, older, they're like, I don't know," Davidson jokes.
"They're like he looks pretty mad bro. I hope... Good luck. Sorry. Here if you need, but like, no advice. No one was like, this is what you do."
He then joked about West's Sunday Service, after revealing fans would ask him on the street if he was annoyed that the rapper had enlisted his friend Jack Harlow to sing on his track.
