The band's Tom Parker revealed that their bosses are in talks with her people about a possible project together and indicated that he and fellow members Siva Kaneswaran, Jay McGuiness, Max George and Nathan Sykes can't wait.
The 23-year-old told the Daily Star: "There's talk of us at the moment doing something with J.Lo, how cool would that be?"
Tom added that her musical talent isn't the only reason why the group are keen to hook up with the Latin-singing star.
He continued: "She's got a great arse. Our two labels are in discussions. It would be a dream come true for us."
The musical outfit first met Jennifer earlier this year when they performed on 'American Idol' which she is a panelist for.
The 42-year-old judge clapped and sang along as they belted out their track 'Glad You Came'.
She later grabbed Max for a hug before he planted a kiss on her cheek during his performance.
He later took to his twitter page calling the experience "one of the best days of my life."