Ahhhh, London 2012. Until our sportspeople embarrass themselves by winning fewer than the ‘target’ 47 medals, and are left nursing the economic and logistical wounds, it’s funny to laugh at the Olympics. Especially in a BBC4 mockumentary that stars Daisy from Spaced and Sophie from Peep Show and Martin from Green Wing and is narrated by David Tennant (in his real voice).

Based around the bureaucratic antics of the Olympic Deliverance Team, Twenty Twelve is like The Office without the constant cringing; think Parks and Recreation (if you’ve seen it), but British and with more javelins. A scene where, asked to identify someone who makes them proud to be British, the team’s only suggestion (after a long pause) is Gok Wan, is genuinely funny. There’s also a wealth of subtle visual gags, and the frankly baffling Olympic Thousand Day Countdown Day Clock becomes a gigglesome elephant in the office.

 Jessica Hynes absolutely steals the show (no mean feat given the cast) playing Siobhan Sharpe, the clueless brand manager who says things like “Matthew Pinsent? I have no idea who that is” and “Michael Palin? He’s dead” and gets formidable poet laureate Carol Ann Duffy confused with Welsh pop goblin Duffy. She also looks absolutely bloody fantastic, by the way. Martin from Green Wing (Karl Theobald) plays to his strengths as twitchy logistician Graham, who freezes up the entirety of North London with his traffic light phasing system. Hugh Bonneville gives a solid and understated performance as the man responsible for the whole mess.

Twenty Twelve isn’t the funniest show you’ll ever see, but next to most recent BBC comedy output (Episodes, we’re looking at YOU, you stinking pile of FAIL) it’s glorious. You’ve got to love a show where Olivia Colman seems to be deliberately over-feeding her boss, who constantly name-drops Sebastian and Boris, while Jessica Hynes teeters round saying “the thing is, right, this is the thing, OK...the thing is....” and we can all pull together, have a giggle and wonder why, exactly, the Olympics are supposed to be so great. After all, it’s just sport. And sport is shit.

Twenty Twelve is on BBC4, Mondays, at 10pm.