The black-and-white snap shows Diana with a similar expression, also wearing a black turtleneck.
The French photographer, who died in April this year, was best known for his photographs of the Princess of Wales. One of his photos appeared on the cover of Vogue's 1991 December issue and was widely credited with giving her a more accessible image.
Diana described him as a "dream" to work with. One of his portraits of her was later put on display in the National Portrait Gallery in London.
The comparisons between Meghan and Diana don't end there. The journalist who interviewed the Duchess for The Cut wrote that Meghan's story is starting to sound all too familiar.
Allison P. Davis wrote, "As Harry battled on her behalf with the tabloids one stern statement after another, it was all becoming too eerily reminiscent of Princess Diana.
"Or maybe it's because by the time she met and married Harry, she was already a fully formed American woman: self-made, self-refined. She had desires and goals and a fan base. And while she was a fine actress, the job she is best at is envisioning a life for herself and getting it."
"That specific type of very American ambition isn't really compatible with being a princess. Though it is compatible with her current life, which seems to be the best of all worlds: a palace in a better climate, still culturally considered royalty while having freedom from the royal family, a level of celebrity that exceeds what she could have gotten through Suits or the Tig, a neighbour with mini-pigs."
Meghan spoke out about the royal family during the interview, claiming her husband Prince Harry has "lost" his relationship with his father Prince Charles, and revealing how "happy" she was to leave Britain.
A source told Page Six that Meghan didn't know when the story would be published.
But it comes just two days before her husband and his brother Prince William will mark 25 years since they lost their mother Diana.
She was killed in a car crash in Paris on August 31, 1997, at just 36 years old.