And speculation has peaked the 36-year-old American actress is setting down roots in London with the revelation she has moved her beloved pet dogs and other belongings to Britain.
She is even thought to have pulled out of Thanksgiving celebrations in Los Angeles to be in London for the big announcement.
Ms Markle and 33-year-old Harry have been dating for well over a year now and, after rumours circulated last week she has quit US legal drama Suits, speculation of their engagement has reached fever pitch.
Royal insiders believe an announcement is imminent and suggest Ms Markle will make London her permanent home ahead of a Spring 2018 wedding.
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After being spotted out and about in the capital this week, it is widely believed Toronto-based Ms Markle has already made the move.
And The Sun says she has moved her dogs, Guy - a Labrador-shepherd - and Bogart - a beagle - has now arrived in the country.
The pair are rescue dogs.
Earlier this week it was suggested the pets will have to be micro-chipped, given a rabies vaccination and a blood test 30 days later to secure a move to the UK.
Ms Markle has been photographed shopping in Chelsea, west London, this week after flying in to join Prince Harry.
Love blossoms: Prince Harry and Meghan Markle out together 1769449865gj5R0cSk
The actress was seen enjoying a shopping spree in upmarket beachwear store Heidi Klein on the King’s Road.
Strolling with a blonde companion, Ms Markle was wrapped up against the autumn chill.
A source told US Weekly: “Meghan has officially moved out of her Toronto apartment. Movers were seen there.
“Meghan’s furniture from her Toronto home will be going into storage and her personal belongings are being sent to the UK."
Harry and Ms Markle made their first official public appearance at the Invictus Games in Toronto and were seen hugging and kissing while listening to some live music.
Harry spoke out about Ms Markle at the Games to one army veteran.
While chatting with former US Air Force Master Sgt Kyle Burnett, 37, Harry revealed his girlfriend was “loving” the games.
Speaking to PEOPLE Sgt Kyle said: “I asked him how his girlfriend was enjoying it and he said, ‘She loves it, she’s loving the games,’ which is awesome.”
Kensington Palace said it did not comment on rumours.