“She has been introduced to Alice and they have started discussing a possible new screenplay.
“Taylor is incredibly astute and getting her head into a project like this would be perfect for her. Alice is an ideal writing partner as she helped shape Succession character Shiv Roy.
“Seeing how she moulded this character, who existed in a male-dominated environment, caught Taylor’s eye.”
The source adds that during their meeting, Birch and Swift had simply been “throwing around ideas” for now.
“Naturally, Taylor’s relationships have inspired some of her biggest songs, many of which have become empowerment anthems.
“This translates easily on to the screen and there are so many threads they can take from it.
“It is really exciting and something Taylor is looking to branch out into.”
Last year, Swift revealed she was preparing to direct a feature film, after having written the script.
The untitled project is being produced by Searchlight Pictures, which has major films Nomadland and The Shape Of Water to its name.
The pop star said at the time: “I’d like to keep taking baby steps and I’m at a place now where the next baby step is not a baby step.
“It would be committing to making a film and I would absolutely love for the right opportunity to arise, because I adore telling stories this way.”
Swift has already directed several of her own music videos and the short film for the extended version of her song All Too Well - but a movie or TV series would be new territory for the star.