The British Formula One driver - who recently reunited with the Pussycat Dolls singer - is renting properties in Melrose Avenue and Park La Brea so they can be together as often as possible, despite their hectic careers.
A source said: "Lewis is determined to give their relationship another go. It unravelled before because they were never together in the same place, which made seeing each other very complicated."
Nicole has signed up for 'Dancing With The Stars' - where she has been partnered with Cheryl Cole's friend Derek Hough - and Lewis wants to be able to spend as much time with her as he can while she remains in the show, which is filmed in Los Angeles.
The source added to The Sun newspaper: "Depending on how well Nicole does in the show, she could be in Los Angeles for months.
"Lewis likes a bit of variety so he's opted for two properties, a secluded house in Melrose and a swanky Penthouse near his favourite shopping arcade, The Grove."
Earlier this week, Lewis admitted he and Nicole were determined to make their relationship work this time.
The racing champion - who rekindled his romance with the pop beauty after the pair split in early January due to work pressures - said: "You make it work, you do all you can, you know? When something is worth it, you do it."
Though Derek and Hansel have left the world of fashion modelling behind them, a part...
After a disastrous return to the fashion industry following his retirement, which almost ended in...