Mila Kunis and Ashton Kutcher have been spotted looking at houses in Marylebone, for when Kunis shoots sci-fi film Jupiter Ascending.
A source 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."
While Kunis heads for London for work reasons, Kutcher, 34, has another motive for getting out of Los Angeles - his ongoing divorce saga with Demi Moore.
He filed for divorce in December 2012 after 13 months of separation, but proceedings have reportedly stalled over money.
Kunis, 28, is to star opposite Les Miserables star Eddie Redmayne in Jupiter Ascending, in which she plays a Russian immigrant targeted by the Queen of the Universe because she possesses the same genetic makeup.
If successful in their Marylebone house-hunt, Kunis and Kutcher's neighbours would include Kate Hudson and Guy Ritchie.