The Clarets are eight points clear of the Premier League relegation zone following their hard-fought goalless draw on Saturday against strugglers Sunderland at the Stadium of Light.
Dyche was impressed by the vocal traveling support from Lancashire and feels those supporters will be key for the Clarets in their bid to stay away from a potential relegation dogfight.
He was quoted by the Lancashire Telegraph, saying: "The fans have been terrific, and we're going to need them.
"It’s only a so-far story, we're in good shape, points on the board, when everyone thought we'd get nothing and be struggling. So we're going to need them.
"Nine games left, five at home, a lot of work to be done, but I'm sure they'll back us."