The Clarets are eight points adrift of safety and any result other than a win will see them relegated at the KC Stadium but Heaton is clinging to hope.
"There certainly won't be any lack of fight or will and desire to go and win the games," said the 29-year old.
"We've got three games left.
"It's not impossible at the minute so we won't lose hope.
"We'll go again and look to go and win the game (at Hull).
"That's all we can do."