Any rumors of a potential crossover between Supergirl and The Flash have been greatly exaggerated.

Despite the recent success of the second annual The Flash/Arrow crossover event on The CW, there are no plans for CBS' freshman DC Comics swing Supergirl to share any characters or storylines with any of The CW's shows. When The Hollywood Reporter asked The Flash and Supergirl showrunner Andrew Kreisberg about recent reports claiming otherwise, he immediately shot them down.

"There's always those late nights, delirious, semi-high on pizza where you're like, 'You know what would be really cool? If …,' " Kreisberg said. "But right now there is no legitimate actual plan to bring [The Flash's] Cisco [Carlos Valdes] onto Supergirl or to bring [Supergirl's] Winn [Jeremy Jordan] onto Legends [of Tomorrow]. First of all, we don’t even know if we could, legally. And quite frankly, just making the Arrow-verse, which is what we call Legends, Flash and Arrow work and then making Supergirl work, it's enough of a challenge without having to add a fourth player."

While all The Flash, Arrow and Supergirl showrunners have provided similar answers to this question before, it's interesting to note that Kreisberg notes they haven't even started to explore the possibility of whether they can make a crossover work between two networks.

Outgoing CBS chief Nina Tassler previously noted that while there are no plans for a crossover between Supergirl and sibling network The CW's Flash or Arrow, there are promotional multi-network crossovers in the works for all the DC Comics shows.

"I’m a little bit of a superhero geek and I have a lot of respect for what characters inhabit certain universes," Tassler told reporters in August ahead of the fall season. “You can’t just pick up one character and let them fly over and appear in another setting. You really have to be respectful and mindful of what each universe says you can and can’t do. Obviously working very closely with DC and our producers, Greg Berlanti is the poster child for this field. Right now we’re not doing it. We’re doing it promotionally, but we’ll always stay open. They’re very inventive about what they can and will do."

Kreisberg and the rest of The Flash and Arrow producers were surprised at Tassler's remarks about a crossover on a promotional level.

"That was sort of news to me," Kreisberg told THR at the time. "We're obviously very excited and gratified by that. How they're going to do that, we'll see, too. They are on different networks, they are separated, but the stories Greg and I like to tell, there's obviously a symmetry. Hopefully if you're a fan of Flash and Arrow, you'll be a fan of Supergirl, and if you like Supergirl, you'll check out Flash and Arrow."

The news comes on the heels of Arrow's season-best ratings in the finale of its two-part crossover with The Flash.

Supergirl airs Mondays at 8 p.m. on CBS; The Flash airs Tuesdays at 8 p.m. on The CW.