Manager Paul Cook is refusing to get carried away after watching his side demolish Hartlepool United 6-1 in the F.A Cup First Round at the weekend.
The Spireites take on Bradford City on Tuesday night and Cook knows it'll be a tough evening at the Coral Windows Stadium.
Speaking at his pre-match press conference, he said: "They're [Bradford] having a fantastic season, they're a very strong outfit. I watched them play at Wigan last week they had 5,000 fans at the ground and they were a credit to themselves.
"They played really well on the night, it was a good cup tie and they eventually got through. Going to Bradford at anytime is very difficult but if we go there and play with the same intensity as we did on Saturday, the same creativity going forward in the last third, I think we will cause Bradford problems.
"It would be great to have a big support from Chesterfield, they'll get right behind us from the first minute and I guarantee we'll get behind them.
"We need to lift them, I said that Saturday, supporters need lifting as well and that's my job and the rest of the staff at this club to make sure that when they go we know we're going to get the best out of each other."
The Spireites were forced into a number of changes at the weekend which ultimately paid dividends and Cook believes that players need to feel that their position is under threat.
"It doesn't make me come in a be some super manager and stuff like that, it certainly doesn't," Cook said on getting the best out of the players who came into the team against Hartlepool.
"These lads were given an opportunity and they were left in no uncertain terms that the repercussions of not taking your chances at this club might not be very good.
"It's not putting people under pressure. We're all under pressure, it's the nature of the game we're in.
"We want lads to come into the team and be able to do their best and when they do their best it's up to us and everybody else to judge whether that's good enough. Certainly on Saturday it was good enough."
Watch the press conference in full on Spireites Player now.