The Britain and Ireland's Next Top Model judge told Company that she had "a few" horror stories from her time as an intern.
"When I was working at Teen Vogue, we were doing a photoshoot with an actress, who shall remain nameless, and I had to moisturise her," she said.
"Then I had to massage her feet and they were gnarly! It was at the beginning of my career so I did it without saying a word. It's just what you do, but it was gross."
Asked what the Next Top Model judges were looking for in their next winner and Company covergirl, Port said: "We're looking for someone with a unique look. I hate to say this, but we're not looking for an everyday kind of girl.
"We want someone with a spark and energy who'll work really hard in any scenario, but also has a bold look of their own."
Of her own style icons, she said: "I've always loved Princess Diana. I think she was chic, classic and willing to take risks considering the life she was living.
"I love Diane Kruger, Alexa Chung and Rosie Hungtington-Whiteley. Rihanna is hot too. Oh and Gwyneth Paltrow."
The full interview appears in the September issue of Company magazine, on sale August 7.
Britain & Ireland's Next Top Model continues on Mondays at 9pm on Sky Living.
