Sia and Harry Jowsey shocked a lot of fans Saturday … ’cause they were spotted holding hands in L.A. — and, now everyone wants to know if they’re a couple.

The singer-songwriter and the reality TV star were spotted leaving the restaurant Ca Del Sole … all smiles while they made their way through the parking lot.

Check out the pics … they look totally into one another here — and might even be doing a little big of flirting. We’ve reached out to their reps to hear exactly what’s going on with them.

We broke the story … Sia filed for divorce from her second husband, Daniel Bernard, back in March after a little more than two years of marriage.

The two share a daughter — Somersault Wonder Bernard — and Sia asked for legal and physical custody of the kid.