The 'Love and Other Drugs' actress has made no secret of her desire to have a cameo role in the musical drama series and creator Ryan Murphy has admitted he is "curious" to see what she would like to do on the programme.
He told MTV News: "I'm meeting with Anne in the next couple weeks. We're not going to do guest stars at all the first half of the season, but I would love to work with her and she supposedly has the whole thing mapped out. I'm curious as to what she wants to do. I love her. I think she's great."
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Anne has previously spoken of her desire to appear in 'Glee', revealing she even has specific song ideas in mind for her character, which she would like to be the lesbian aunt of gay student Kurt Hummel - who is played by Chris Colfer.
She said last year: "I would love to be on 'Glee'. Can I make a confession? In my head I've written a part for myself! It's so arrogant and obnoxious, it's like, 'Ryan Murphy no one else wants to be on your show.' But in my head I've cast myself and I know which song I'd sing. I would want to play Kurt's long-lost aunt, his mother's sister who is also gay, who comes back to help him deal with his sexuality and I would sing 'No One Is Alone' from Stephen Sondheim's epic show 'Into the Woods'."