The aspiring popstar, who got together with Rayment in the ITV2 show's fifth series, said that she is not trying to emulate the turbulent relationship of her brother Mark and his ex-fiancée Lauren Goodger.
"We're not interested in being the show's biggest love story," she told Closer. "We want to keep parts of our relationship private.
"We're not the new Mark and Lauren. The 'Mark and Lauren' thing is boring."
However, Jessica did say that she is pleased Rayment has received the approval of her Hollywood Nights sibling.
"He couldn't fault Ricky and gave him a massive thumbs up," she revealed.
Wright debuted her first solo single 'Dance All Night' earlier this month.
