Lewis Hamilton is house-hunting in LA to be closer to Kim Kardashian and her four children as he plans to spend the F1 off-season near his girlfriend

The romance between Kim Kardashian and Sir Lewis Hamilton continues at full speed – as the Formula 1 star is apparently now house-hunting in Los Angeles.In further signs that the couple are growing ever closer, Lewis has asked agents to find him a mansion in the city, where Kim lives with her four children by former husband Kanye West.He is open to renting or buying and favoured areas include Malibu, Hollywood Hills and Pacific Palisades.The house would be a place to stay during the off-season so that he and Kim could more easily continue their romance – at the moment, home for Lewis is more than 6,000 miles away in Monaco.Sources say that the racing driver is 'overwhelmed with how easy his connection to Kim is and how they make things work despite their very intense solo schedules'.Apparently some of Kim's friends jokingly call her 'Lady Kim' already.The idea of Kim's new romance was introduced during a recent episode of her reality show, The Kardashians, where she told viewers she is 'really, really happy'. The romance between Kim Kardashian and Sir Lewis Hamilton continues at full speed – as the Formula 1 star is apparently now house hunting in Los AngelesIt was her strongest hint yet their romance is going from strength to strength.The pair have been romantically linked since February, and have since gone Instagram official.Speaking during the episode, Kim revealed the special man in her life meets every requirement on her famously demanding relationship checklist.The star discussed a list of more than 50 qualities she wanted in her ideal partner, before suggesting she had finally found someone who fulfilled them all, while speaking to comedian Nikki Glaser, 42, on the set of their film The Fifth Wheel.When producers pressed her to reveal more about the mystery man, Kim said: 'Oh, you guys are really trying to get this out of me.'She added: 'Let me just say this – I am just really, really happy. That's all I'll say for now.'Since going public with their romance, Kim has been seen supporting Lewis at his Formula One races. The couple also took a trip to Japan earlier this year, and they are said to have spent a weekend at luxury hotel Estelle Manor in the Cotswolds, and visited Paris – the 'city of love' – in February too. In further signs that the couple are growing ever closer, Lewis has asked agents to find him a mansion in the city, where Kim lives with her four children by former husband Kanye West The idea of Kim's new romance was introduced during a recent episode of her reality show, The Kardashians, where she told viewers she is 'really, really happy' In the same month, they appeared publicly together at the Super Bowl, when they were shown on the stadium's big screen during the game between the New England Patriots and the Seattle Seahawks.Lewis – who has previously been linked romantically with singer Nicole Scherzinger, 48, and actress Sofía Vergara, 54 – and Kim had known each other for several years prior to their relationship.Kim – who is mother to North, 13, Saint, ten, Chicago, eight, and Psalm, seven, with her ex-husband Kanye West – is said to be taking her new relationship very seriously.A source recently told People magazine: '[Lewis] is just an easy-going guy with great energy. Her family likes him and Kim's very into him.'They are both busy with their careers, but see each other as much as possible.'They are said to have 'more than just a casual connection' with the insider adding: 'It takes a lot to capture Kim's interest and she's definitely intrigued.'Just earlier this week Kim revealed that she spent five years being single in order to 'completely heal' before she contemplated a new romance.She told The Times: 'I was really single for five years. And that felt great. I could focus on my kids and projects that I really wanted to be involved with. I really felt no rush. 'Like, I really didn't feel empty. I felt like I needed my time. I wanted to completely heal and just work on myself. I wasn't ready to open up.'