"I don't even want to consider that possibility," Evans told the Daily Post.
"From a personal point of view I have had an absolutely fantastic 12 months and achieved more than I ever thought possible.
"But I truly believe that we will stay up and that's what everyone here is determined to do."
Wrexham are out of the bottom three on goal difference from Boston United. Torquay Utd are already relegated.
Evans, 28, added: "We didn't have a good Easter but the lads showed at Lincoln on Saturday that we are definitely going to fight all the way.
"If we continue to play like we did there, we will be OK and we'll climb away from the danger zone.
"There are now just four games left and we are going into each of them with the sole intention of winning.
"Each of the games is a cup final and that's how we have to approach them."