Following the news that NBC's now defunct DC character John Constantine will be joining the CW show "Arrow," The CW also announced that there is a real possibility that their three DC shows may also get a crossover event with the upcoming "Supergirl" series on CBS, and vice versa.

According to an article on Variety, it is a real possibility and the networks are open to it. During the Television Critics Assn. presentation on Tuesday, CW President Mark Pedowitz took on the topic during the discussion and gave fans a clearly hopeful scenario.

"I leave that to Greg Berlanti and his team. If they can make it work, that's great. If they cannot, that's fine. We are open to crossovers," Pedowitz said at the event. "That's Greg's call because he understands his shows better than I do because he's there."

Berlanti is the executive producer for the three main DC shows on The CW, which includes "Arrow," "The Flash" and "Legends of Tomorrow."

What is already known about the cooperation between networks on the DC shows is that they will be doing cross-network promotion for each other. That means "Supergirl" will be promoted on The CW and "Arrow," "The Flash" and "Legends of Tomorrow" will be promoted on CBS.

This has been confirmed by both Pedowitz and CBS president Nina Tassler.

News of this cross-network promotion comes after The CW initially passed on the "Supergirl" pitch, which ended up landing on CBS for their fall schedule. Pedowitz also commented on that as well.

"I can't address CBS' perspective on that, but I can address ours. We had 'Arrow' and 'Flash' and we were not planning to do another DC character," Pedowitz said.

This came at a time when the network was just on the eve of launching "The Flash" and the discussion of developing a "Supergirl" series meant the timing at the moment just was not right. They needed more time to see how "The Flash" was going to perform.

"We had not launched 'Flash' yet. We had no idea how it would do and when it would do it. You take your time. Sometimes you lose great projects," Pedowitz said.