The Fresh Meat comedian stars as "the worst teacher ever to grace the British education system" in Bad Education, which he has also written.
"Jack has written a very funny series and everyone is terribly excited about it," a source told The Sun. "It could be as big as The Office and Gavin & Stacey."
Bad Education also stars Him & Her actress Sarah Solemani, Michelle Gomez of Green Wing and Mathew Horne, who appeared in Gavin & Stacey.
Details of the show first came to light in November 2011.
Whitehall is also preparing for a second series of Fresh Meat, ordered by Channel 4 last October.