The actress showcased her vocal talents at the Oscars on Sunday and told Access Hollywood that a recording contract could be in the pipeline.
'We're talking about it now,' she said. 'So we'll see.'
She added that her decision to star in Glee came about because she wanted to try something new.
'My parts were usually quite serious and I was looking for something fun and different to do,' she explained.
'When [creator] Ryan [Murphy] asked me to be on Glee, I thought, 'How much fun would it be to sing and dance and just be ridiculous and silly?' I'm just having so much fun.'