The 29-year-old Hamilton has asked Scherzinger to swap her London pad for Monaco. They rekindled their romance over Christmas after splitting in July last year, reported Contactmusic.
"After reuniting at Christmas, Lewis has decided he wants Nicole at his side for good. Nicole is always travelling all over the world with work, but rather than LA and London, Lewis wants their base to be in Monaco," a source said.
"They can go about there and no one pays them any attention, that's what he likes about the place. Nicole is mulling things over. They have been talking a lot about the future," the source added.
"Nicole is giving serious thought to moving in with Lewis. They know they can't keep splitting up and getting back together, so more commitment is the next step," the source said.