The project, which comes from Pushing Daisies creator Bryan Fuller, was first in development last year, but NBC decided not to pursue the show.
Executives at the network have now asked Fuller to rework the script, TV Guide says.
The new adaptation of The Munsters is expected to include all of the original characters from the 1960s programme and will keep the series' humour.
However, it will now be an hour-long show and is thought to be "edgier" and "slightly darker" with more focus on the origins of the characters.
When the potential remake of The Munsters was first announced last year, original cast member Butch Patrick criticised the idea.
"Honestly, it should be left alone," he said. "I think it shows they are desperate for content."
Earlier this week, it emerged that CBS is working on a remake of the 1960s and 1970s sitcom Bewitched.