Yes, the singer is rocking a new tat of her new bf ... just days after officially becoming a single woman again. Downtown L.A. tattoo artist Miryam Lumpini -- aka The Witchdoctor -- showed off her handiwork.

You'll recall Sean and Jhene got steamy at a show in June 2016 -- practically cementing rumors she was done with hubby, Dot Da Genius. She filed for divorce a couple months later, and it was finalized just last week.

Nothing makes it official -- or dooms the relationship -- like tattooing someone's face on your body.

Congrats/good luck!