TV’s hottest showmance is heating up the dance floor.

Queens native Genessy Castillo, 18, is fighting for a spot among the top four finalists on Season 15 of “So You Think You Can Dance.” Her skills as a versatile contemporary dancer (she trained at the LaGuardia High School of Music & Art and Performing Arts in NYC) have earned her a spot among the top six contenders. But the judges — and the Twitterverse — can’t stop talking about the chemistry she has with Ukrainian hip-hop dancer Slavik Pustovoytov.

“I know you guys were out of your comfort zone, but that was just so beautiful, and your connection ... I ship you,” gushed judge Vanessa Hudgens on an episode earlier this month, using the term “ship” to mean that she wishes the pair were in a romantic relationship.

Still, Castillo says she and Pustovoytov are not a couple — despite having an undeniable spark.

“We’re not dating,” Castillo tells The Post. “[But] it’s not not there, you know what I mean?”

She says she doesn’t read fan comments about the duo’s imagined love life, but Pustovoytov does.

“We talk about it all the time,” she says of the social-media speculation. “It’s really funny because we are so genuinely close like that. We can talk about it and laugh about it. It’s cute; it is really cute.”

As Castillo competes Monday night for a spot in the finals, she’s thinking about what she’d do in the event of a first-place finish. The winnings include a $250,000 cash prize and the title of America’s Favorite Dancer.

“I’d definitely come back home and just hug my parents, then go back to my home studio and just talk about my experience,” she says. “But with the money? I want to travel and visit other studios … and choreograph. When I’m older, I want to be a choreographer, to just be able to teach and to share.”

“So You Think You Can Dance” airs Mondays at 8 p.m. on Fox.

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