The film's director Drew Goddard broke the news over Reddit, claiming that the idea was dropped due to the financial problems at MGM.
"We actually were going to do a downloadable L4D2 expansion pack, where you'd fight in the Cabin world, but then MGM went bankrupt so the delay squashed it," he said. "But the people at Valve were still cool enough to let us use some of their monsters to fill the cubes in the background (I had a lot of cubes to fill).
"By the way - the game was gonna be amazing. You were gonna be able to play in both the upstairs Cabin in the Woods world and the downstairs 'facility' world with all the monsters.
"Believe me, I HATE all video games based on movies, they always suck, but porting Cabin into Left For Dead felt like the right fit. It pains me that it didn't happen."
Left 4 Dead 2 last month received the 'Cold Stream' DLC pack, available to download through Xbox Live for 560 Microsoft Points (£4.80/$7).
> Read Digital Spy's 'Left 4 Dead 2' review
Watch the Left 4 Dead 2 opening cinematic below: