Channel 4 ordered a second series of the comedy, created by Robert Popper, back in March.
"Robert Popper is writing the second series at the moment, so hopefully we'll start filming early next year," Bird told TV Choice.
Inbetweeners star Bird added that he had always been a "massive fan" of Look Around You star Popper.
"I always knew I wanted to work with him," he said. "It was exciting for me to do something slightly different and a bit more mainstream [and] family-friendly."
Back in April, a pregnant woman reportedly went into labour after laughing too hard at an episode of Friday Night Dinner.
The sitcom's second series will be broadcast in 2012, while the first run is currently airing on Saturdays at 11.30/10.30c on BBC America.
> Simon Bird Friday Night Dinner interview
Watch a behind-the-scenes feature on Friday Night Dinner below: