It comes weeks after it was announced she will feature in a new Disney+ documentary, narrating her rise to fame and subsequent kidnapping and sexual assault.
In an Instagram story on Friday, Duffy, 41, whose real name is Aimee Anne Duffy, said: "I'm doing a secret intimate gig in London on the 5th July, next month, and I would love nothing more than for some of you to attend.
"Please visit the link below and leave your details if you want to come.
"It's only small capacity so we can only select a few, but really looking forward to it, I will sing some new songs."
She rose to fame in the late 2000s after the release of her debut album Rockferry.
The album's most popular song, Mercy, was a UK number one for five weeks in 2008 and propelled her to international success.
She released a second album, Endlessly, in 2010 before withdrawing from the public eye.
Duffy's last live concert in the UK was at Capital FM's Jingle Bell Ball at the O2 Arena in London in December 2010.
She said nearly a decade later that she had been drugged, raped and held captive.
The new documentary will recount her life, from her upbringing in Wales to her music career and to the present.
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