The Spireites' seven-game unbeaten run came to an end at local rivals Rotherham, but Richardson believes there were positives to take from the 3-0 defeat.
"It was a fine line (on Saturday). A few key decisions didn't go our way and we didn't get the breaks at crucial moments and the game just gradually ran away from us," said Richardson.
"But I can't fault the players for effort and we caused a very good team some problems away from home - (Andy) Warrington had to make some good saves.
"Hopefully we can take that into Wednesday, but we take the other things on the chin and try to improve on them."
Chesterfield go into the game in 10th place in League Two, seven points adrift of the play-offs but with games in hand on all of their rivals.