Stanley edged out of the drop zone last week thanks to an impressive 3-0 win over local rivals Rochdale in midweek, before playing out a goalless draw at home to Torquay.
But the Reds are still only a solitary point above the foot of the table and Richardson does not want to get ahead of himself.
"I think you'll soon slip up if you look too far ahead," he said.
"If you give yourself targets you either go past them or fall short so I think they're false.
"I think you must just concentrate on the next day and then after that the next game.
"Once that's gone you can put your whole effort and your whole focus on the next obstacle that's put in front of you. That's what we're doing."