The actor made the suggestion for a show following the deceased werewolf couple in a message to the official BBC Three Twitter account.
"Just putting it out there... How about a #george and #Nina #beinghuman spin off special? @bbcthree," he wrote.
In response, BBC Three said: "@russelltovey OMG. That would be AMAZING!!!! I like your thinking! #BeingHuman @bbcbeinghuman...@russelltovey."
After fans voiced their support for the project, they added: "Ooh you've opened a can of worms now!"
Tovey's character was killed in the opening episode of Being Human's fourth series earlier this year, while Nina perished in an off-screen vampire attack between series three and four.
The fifth series of Being Human - announced in March - will feature new ghost Alex (Kate Bracken) alongside vampire Hal (Damien Molony) and werewolf Tom (Michael Socha). It is set to air in 2013.