Lana Del Rey got caught in a big storm down in Louisiana … waiting out Hurricane Francine with her rumored new flame, Jeremy Dufrene … and seeking shelter at his home.

The “Summertime Sadness” singer was spotted at Jeremy’s place this week … at the same time Francine came roaring through the state … and they seemed pretty comfortable with each other, hanging out on his porch.

Lana and Jeremy — a Louisiana-based alligator tour guide — are looking more and more like a couple … even though they haven’t gone Instagram official yet. They’ve also been spotted recently at Leeds Festival in the UK and a celeb wedding in NYC.

Lana’s getting a crash course in Louisiana living thanks to hurricane season … just take a look at all the flooding just outside his home.

Jeremy’s place ain’t all that big either, so they’re definitely getting pretty cozy in there … and it looks like they’ve got some company too, so Lana could be meeting his friends and/or family.