The couple who've been friends for who knows how long and dating since April 2012 (five months after Ashton's messy split from ex wife Demi Moore) are said to be setting their sights on the swanky Marylebone area of London.
And if they do settle there, the pair will be able to name Kate Hudson and Guy Ritchie among their sleb neighbours.
The move is a pretty necessary requirement for Mila who's set to star in a London-based film made by the team behind The Matrix, but for Ashton it seems to be a case of 'wherever she goes, I shall follow.'
A source allegedly told The Sun, "Mila is over for at least six months filming near London and Ashton has decided to head here too. They spend most of their time glued to each other's side." Cute... We think.
We'll just have to watch this space to see if the pair make the move, for now here's a peek at Mila's style evolution. The actress might be bang-on trend these days but she wasn't always so style savvy: