Olivia Culpo said she was told she couldn't board an American Airlines flight until she covered up.
Her sister Aurora said the model needed to "put on a blouse" before their Thursday flight to Cabo.
The former Miss Universe wore an athleisure set and asked why the clothes were "inappropriate."
Olivia, her boyfriend, Christian McCaffrey, and her sister Aurora were preparing to board a flight to Cabo, Mexico, when she was called to the American Airlines desk and told to "put on a blouse," Aurora said in a series of posts on her Instagram story.
In the first story segment, Aurora, 31, pans over to show Olivia's outfit, which she later said was a matching black athleisure set from Naked Cashmere, and said she looked "cute" and "appropriate."
"Olivia and I are going to Cabo and look at her outfit," Aurora said. "They call her up to the desk and tell her that she needs to put a blouse on otherwise she can't get on the plane."
American Airlines did not immediately respond to Insider's request for comment, but its website does include a line about a dress code within a list of rules it says are necessary for customers to comply with for safety purposes.
"Dress appropriately; bare feet or offensive clothing aren't allowed," American Airlines says. "Violent or inappropriate actions may result in the denial of boarding, removal from the terminal or legal prosecution."
It's not the first time American Airlines is said to have told passengers to cover up so they avoid being denied boarding. A doctor accused the airline in July 2019 of asking her to deplane to cover up with a blanket because her summer romper wasn't considered appropriate attire. And more recently, a Turkish influencer said on her Instagram story in July that she was barred from an American Airlines flight because her shorts were too short.
Aurora appeared to criticize the airline's consistency on the dress code in a follow-up Instagram story in which she compared Olivia's outfit with that of a fellow passenger who was also wearing a matching athleisure set. The outlying difference appeared to be that the Miss Universe alum's clothes consisted of shorts, while the other passenger's blue set featured leggings.
"See but she looks beautiful and they don't care," Aurora said of the other passenger before panning back to her sister. "But she has to cover up."
Olivia reposted her sister's stories to her own Instagram account and added a caption questioning why her outfit was "inappropriate" and "offensive."
One of the clips she shared also showed McCaffrey, who plays football for the Carolina Panthers, on the flight with his arms tucked into his T-shirt trying to stay warm without the sweatshirt he gave to his girlfriend to help her cover up.
Aurora compared him to the character Jack in "Titanic," who froze to death to let Rose stay out of the water.
"Exactly how Jack from the Titanic died," she said.
Representatives for Olivia and Aurora Culpo did not immediately respond to Insider's request for comment.
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