Alexa Chung and Alexander Skarsgard are buying a house in Los Angeles together.

Alexa Chung and Alexander Skarsgard

Alexa Chung and Alexander Skarsgard

The couple have been dating for over a year, and though the 39-year-old actor has been living with the British beauty in New York, they are now planning to move to the West Coast for the sake of his career and have already started looking at properties together.

A source told Grazia magazine: "They are completely made for each other and are having a great time together.

"Alex sold his Los Feliz mansion last year and has been living in NYC with Alexa, but work opportunities are pulling him back to LA.

"Alexa loves the lifestyle there too, so they are considering buying together. They are thought to have already browsed a $4.5 million home nestled in the hills in Silver Lake."

Alexa mainly splits her time between London and New York, but admitted last year she is tired of life in the Big Apple.

She said: "I've just felt exhausted by it. My apartment is nothing crazy. The night-time invitations are fancy-pants, but I'm like Cinderella and at the end of the night I've lost a shoe and am going home in a pumpkin."

The 32-year-old beauty - who previously dated Arctic Monkeys frontman Alex Turner - introduced Alexander to her parents over the Christmas period.

A source said at the time: "Alexa's relationship with Alex is going great. That's why she was happy for him to meet her family - she would only ever introduce someone she was serious about to them. Alex seemed to get on well with Alexa's dad Philip."

After Christmas, the couple then flew to Miami to celebrate the new year with friends including Rita Ora and Nick Grimshaw.

A source said: "Alex and Alexa looked really happy hanging out on the beach - her friends kept commenting on how great they looked as a couple and how totally into each other they were. It seems as if Alex and Alexa could really go the distance."