There’s no doubt Taylor Swift is an unabashed fan of Olivia Benson, the Manhattan police sergeant on "Law& Order: SVU" played by Mariska Hargitay. Not only is one of her cats named after the character, Swift even invited Hargitay to be a part of her ever-growing squad, which includes Karlie Kloss, Cara Delevingne, and Selena Gomez, when the actress appeared in the “Bad Blood” music video.

So it made perfect sense to ask the 51-year-old actress if Swift would return the favor and appear on an episode of the long-running NBC crime drama.

“We just talked about it,” Hargitay told ET during a break from filming. “We’re going to wait until the end of the [1989 World] tour to see how it goes. But it’s in the air.” 

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While fans will have to wait mid-December before the show can finalize plans with the singer, executive producer Warren Leight offered the next best solution. “We’re thinking of naming a squad room cat Taylor,” he said. 

“The squad room needs to get a cat or I need to get a cat and name it Taylor,” Hargitay joked, “either one.”

When asked about appearing at the MTV Video Music Awards with Swift and her “Bad Blood” co-stars, Hargitay simply said it was “an experience” before adding: “The best part of going with Taylor and the girls was that they were so supportive, wonderful and fun.”

“It’s a good posse to jump into,” Hargitay said of her new gal pals.

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Even though they’re working on getting Swift for the show, both Hargitay and Leight confirmed a few upcoming guest stars during ET’s visit to the set. Virginia Madsen ("Sideways") will appear in episode six as the mother of Det. Rollins (Kelli Giddish) and Adrienne Moore (Cindy on "Orange Is the New Black") is in the second episode.

The two-premiere will feature Dallas Roberts ("The Good Wife") as a Robert Durst-inspired killer and mark the return of Elizabeth Marvel ("House of Cards") as Counselor Rita Calhoun.

Meanwhile, cast members of the hit Broadway musical, "Hamilton," will make their way through "SVU." Daveed Diggs, who plays Thomas Jefferson on stage, will reunite with his "Hamilton" co-star Leslie Odom Jr., who recurs as Reverend Curtis Scott on the series.

“It was like 'SVU: The Musical,'” Hargitay gushed about filming with the two stars just a day prior.

The new season of "Law & Order: SVU" premieres on Wednesday, Sept. 23.