The Love Story singer is such a fan of Hargitay's long-running Tv drama Law & Order: Special Victims Unit, she decided to name her pet Olivia after the actress' no-nonsense detective Olivia Benson - and Hargitay couldn't be more thrilled.
She says, "I heard about it on Twitter and I think everybody that I've ever met emailed me and let me know that Taylor Swift named her cat after my character.
"I got her a Tiffany collar; she's getting it in the mail too... I spared no expense on this."
Swift recently cooed about Hargitay backstage at the iHeartRadio festival in Las Vegas when she was asked by a reporter what she likes about her and her show.
She said, "I thinks she's so amazing... As a woman I just look up to her so much."