The Bees gave their survival hopes a huge shot in the arm with a 1-0 win at fellow strugglers AFC Wimbledon on Monday.
They are now three points above the drop zone with four matches remaining and Davids hopes to edge further clear of what looks set to be a dramatic last-day fight to avoid relegation.
He said: "Chesterfield are a good footballing side. You can see their ranking in the table. You have to be well prepared because they are not an easy team to beat.
"We can make it as close as possible if we have good results, but we don't want to leave it to the last minute."