The Fight For This Love singer is reportedly looking at properties in the capital for the Black Eyed Peas star.
Will.i.am has been spending time in the capital as he prepares for the launch of a new music talent show and is believed to be looking for a permanent move.
'Will is desperate to lay down some roots,' an insider reportedly revealed.
'Cheryl has told him to leave it all up to her,' continued the source. 'She knows his taste, arty with fab architecture or a futuristic feel.'
Cheryl is currently readying her new album, which is said to feature a song written by breakthrough act Lana Del Rey.