According to the News Of The World, Tighe is a proud swinger and expressed her sexual desires when the show's female stars enjoyed a night out with their partners.
An insider told the newspaper: "A bunch of the Apprentice girls went for a night out and the alcohol was flowing.
"Lorraine was very open about her and her partner's lifestyle and came straight out and asked Debra and her boyfriend Richard, who's very good looking, for a foursome. Debra was really shocked. They said no."
Tighe and her boyfriend apparently decided to experiment with the swinger lifestyle after visiting a sex club during a holiday in Amsterdam.
"The sex we had on that holiday after being in the club was a revelation, definitely the best of my life," the 36-year-old reportedly told a friend. "It was amazing. And no, I don't think it's dirty and I'm not sleazy - but I am definitely liberated."
The Apprentice continues on Wednesday at 9pm on BBC One.
