The 27-year-old singer has moved to LA in the hope of landing a job as a judge on the US show, but according to The Sun, bosses back in England have offered to make her the highest-earning woman on British television if she stays.
A source said, 'Cheryl is being tempted with a bigger salary and if she takes it then it won't look like she's failed in the US.
'ITV are in turmoil about the UK version as everything is still up in the air.
'They know by keeping Cheryl half of their problems will be solved. She's still the biggest advertising draw.
'But, of course, if she does get the US job she'll take it like a shot.'