The US X-Factor judge is said to have been advised to end her relationship with the dancer so she can create a better image for herself.
A source told the Sunday Mirror: 'TV executives are thinking that if she's going to win over Hollywood, she'd be better off doing it as a sassy and single girl-about-town. Derek may be dreaming of worldwide stardom but he's seen as a small-time dancer on a TV show and pretty uncool.'
Show boss Simon Cowell is said to be lining up high-profile eligible bachelors for Cole to date, while fitness guru to the stars Tracy Anderson is working with her to create a body fit for LA.
'Everyone knows being on TV puts a few pounds on you, so Cheryl is keen to get back to her normal trim figure so she looks in perfect shape for US viewers,' the source added. 'Cheryl is desperate to make it in the US and producers are keen to help her become a star.'