Five inches of snowfall by mid-afternoon on Tuesday meant their clash at Oldham was postponed for the second time.
The in-form Glovers had travelled north with just goal difference keeping them out of the League One play-off places.
Johnson told the Western Morning News: "To be honest, (assistant manager) Terry Skiverton and I went to the stadium when they were clearing the pitch. At 2pm, an hour after the earlier inspection, the snow came down again. It was very slushy up there.
"The reason why I'm frustrated is because, the two times that we could have got ourselves into the play-offs, the game has been cancelled. We have missed out on playing both Preston and Oldham.
"We are disappointed, and if this happens too many more times we are not going to have too many weeks left in the season."