According to Heat, Cole wants to spend the holiday season with her rumoured partner Hough, but also does not want to upset her musical collaborator and friend will.i.am.
A source told the magazine: "Will has opened his home to Cheryl for Christmas and New Year. She's been to his luxury house, which has state-of-the-art security, its own gym, recording studio, spa and pool, so it's a very tempting idea.
"Will is serious, even though Cheryl's keen on spending time with Derek over the holidays - she's even begun house-hunting in LA with him. But Will can be very persuasive and she's now reluctant to miss out on the chance to hang out with him and his music industry friends."
The source continued: "It's given Cheryl a difficult dilemma. She doesn't wan to turn down Will's offer. He's a great friend and he's been networking for her on the LA music scene. He set her up on Nicki Minaj's new track, so she doesn't want to miss out on any other opportunities by not spending time with him."
An industry source added: "During Cheryl's European tour earlier in the year, will.i.am was waiting to join Cheryl on stage for their duet '3 Words' and Derek was coming off after doing their dance routine to her single 'Parachute'. will.i.am just stared him out and the two didn't speak. It was quite funny."