Cunningham was pleased to see his side break a run of two consecutive defeats by taking a point from Chorley in midweek, but he fervently believes they deserved more.
"That game showed the strides we're making, but it also showed the time has come when we have to start converting our performances into three points. When we do that we won't be a million miles away from the teams who expect to beat us," he explained.
"People say I should be in a better mood as we drew at Chorley, but actually I'm disappointed. Although we got an away point against a team that's been making headlines it felt like we dropped two.
"But that's the way it's been recently. We were very upset after losing at Gateshead, and really down after losing at Kidderminster, because we deserved the points from both those games.
"We probably showed Chorley too much respect in the first half. In the second we got after them and were the better side. If the match had gone on a few more minutes we would have won because we were throwing the kitchen sink at them.
"It'll be tough at Spennymoor as they have a fantastic manager and are strong at home. They have a great squad to the extent that their bench would get into my team.
"They've shown by the way they've spent, and the way they've improved their ground, that they're chasing promotion. They ooze quality and there's no doubt they're going to be up there.
"But I'm looking forward to it. We're not going to sit back and play for a draw, we're going to go after them. We're going there to win."
The Curzon squad should show one addition tomorrow as Cunningham is in the process of signing a defender. He refused to reveal the player's identity or club but said it was someone he had been tracking and who would have a presence up front as well as stiffening up the back line which has been prone to mistakes.
Skipper Paul Turnbull returns after recovering from a strained hamstring. Darren Stephenson faces a fitness test.
Although Spennymoor have played only eight league matches, they have won just one of their last five, culminating in a rare home defeat by Guiseley in midweek.
Manager Jason Ainsley, who has described his side's recent form as totally unacceptable, added: “We are a team who always seems to pull something out the bag when we are facing adversity.
“We’ve got some big characters in the dressing room, but the first half on Tuesday is the worst I have seen us play in a long time.
“It looked as if it was 11 players just putting a shirt on which was really disappointing.”
⚫️ On Tuesday ASHTON UNITED face South Shields at Hurst Cross in the first round of the FA Trophy. However, as Tameside is in tier 3 of covid-19 restrictions the tie will be played behind closed doors with no fans admitted.