Olivia Wilde Staying at Harry Styles' L.A. Home, Head to England

A source recently told PEOPLE that Wilde and the musician "seem very serious" and "spend all their time together"

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Harry Styles, 28, goes on romantic date with girlfriend Olivia Wilde, 38, ahead of one-off London show

Olivia Wilde, 36, and Harry Styles, 27, will head to England together with her children 'soon

Olivia Wilde Staying at Harry Styles' L.A. Home, Head to England

Olivia Wilde Buys Studio City Home for $5.9 Million: PHOTOS

Harry Styles and Olivia Wilde's Full Relationship Timeline

Harry Styles and Olivia Wilde Spotted Out in London

Harry Styles and Olivia Wilde 'set to live together in the UK full-time

Jason Sudeikis tried to prevent Olivia Wilde from seeing Harry Styles during fight