Firth, who played MI5 boss Harry Pearce in the show, said that a script by its original writers is currently doing the rounds.
"There is a script kind of in the machine," The Huffington Post quotes him as saying.
"They should make it. It's not like it's a gamble with this one. But it costs a lot, and there's not a lot of money to go round at the moment."
The show ran for ten series on BBC One between May 2002 and October 2011.
Firth previously told the website that he would have liked a happier outcome for his character's unspoken love for Ruth Evershed (Nicola Walker), who died in the series finale.
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