The Whites are nine points away from the play-off places after victories against Huddersfield Town and Cardiff City over the last eight days.
Evans admitted that that gap is a considerable distance at this stage of the season.
However, he also said he was not satisfied with just keeping the club in the Championship, despite safety being the remit under which owner Massimo Cellino hired him.
He said: “The remit I got from the president was to make sure we’re in the Championship.
“I don’t want to just make sure we’re in the Championship, but we know we have a lot of tough work to do.
“It sounds very simple to say we’re nine points off the play-offs. That’s a lot of points to be so far off at this point in the chasing group, but we’ve come from the bottom group.
“We’ve got ourselves a couple of decent wins - the win against Huddersfield on Saturday and the win at Elland Road against Cardiff.”