The actor plays Burt, the father of Kurt (Chris Colfer), but told New York Magazine that he has not yet been offered the chance to perform.
"I'm constantly suggesting to [executive producers] Ryan [Murphy] and Brad [Falchuk] and Ian [Brennan] that I should sing," O'Malley admitted.
"At the very least either when Kurt wins or loses the school election, the idea that maybe there'd be a karaoke bar celebration or a dream sequence when he'd sing."
O'Malley continued: "I wouldn't want it to be totally preposterous, but I like to think that deep in Burt's genes is where Kurt's talent came from. It's just that I haven't scratched the surface of my singing talent yet."
Glee airs on Tuesdays at 8/7c on Fox in the US and on Thursdays at 9pm on Sky1 in the UK.
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