Manager Danny Wilson pointed to the nerves in his side after the 1-1 draw with Doncaster Rovers at the Proact on Tuesday night.
The result, earned through Gboly Ariyibi's first-half equaliser, means the Spireites are now five points above the drop zone on 50 points with three game remaining this season.
"We'll have to see what this result means," said Wilson on the result. "The one thing about the game was that we didn't want to get beaten, and we haven't been. Before the game we were four points off the bottom, now we're five points off.
"It was a nervy encounter again, and we're finding at home in recent times that it's very anxious. The fans are anxious and if a pass goes astray there's a certain moan and that affects the players.
"The boys are under pressure, they want to do very well but sometimes when that nervousness creeps in it's difficult to get rid of. Maybe we're better away from home at this moment in time."
Ariyibi won the SBK Computers man of the match award and Wilson was impressed with the development of his player and his calmness under pressure for the goal.
Wilson commented: "We always want consistency from every player, not just Gboly. It was a great finish, a left-footed finish and he controlled it really well at the near post, the only place he could really put it.
"Young players will have that lack of consistency at times but you've got to have patience with them. We have to have a calmness about ourselves and if players can see that and can trust each other they'll be fine."