The Gers slumped to an embarrassing 1-0 loss against Stirling the last time they clash at Forthbank way back in October.
However, the Ibrox club passed up a glut of goalscoring chances in that Irn-Bru Third Division showdown against the bottom-placed team.
McCoist said: "I won't make excuses for that result and I would never take anything away from Stirling Albion.
"But bad finishing was a big part of that result. In the defeat, we missed chances and they took theirs.
"That was as poor as we have played this season. That defeat to Stirling and the draw at Berwick were not good.
"Having said that, Stirling played well against us at Ibrox as well. They are aggressive and strong and well organised and we will have to be at our best."
Meanwhile, McCoist has urged fans to "behave" while following the Light Blues, but suggested it might help supporters if they were told exactly what songs they were and were not allowed to sing.
He said: "If that eradicates the problem, then I`m all for it – absolutely all for it.
"Anything that would move us forward and eradicate that problem we had at the weekend would be helpful.
"It might seem like a drastic measure but if it helps, then I don't have a problem with it at all. In fact, I'd encourage it."
McCoist insists the club has been stringent in its work to rid its support of the sectarian element.
"The club has taken giant strides to move forward," he said. "The vast, vast majority are of that opinion and that is what we want.
"There is no place for Saturday's songs in the modern game, we all know that. They are unacceptable and there is no place for them in a modern society.
"We are doing our best to move forward and some massive, massive steps have been taken. The weekend was obviously a disappointment but I'm not going to get too carried away with that disappointment because we want to keep moving forward again.
"I don't have any doubts that the majority of our fans want to leave those days behind us.
"We will move forward, because we have got a phenomenal fan base who have been nothing short of fantastic this season. The vast majority of them know what is expected, because they are representing the club as well.
"It's important that they behave themselves and the club has a good image moving forward.
"I want them to come and sing the songs that get the Rangers team going but support them in the proper manner. That is exactly what we want.
"I`m very hopeful that this is just a minor hiccup."
Rangers return to the scene of their only league defeat of the season when they face Stirling Albion at Forthbank tomorrow night.
Brian Allison struck for the Binos in a stunning 1-0 win back in October but since then the Ibrox men have gone on to open up a 22-point lead at the table summit.
That has now put them potentially within six wins of the title but McCoist insists his only focus is finally winning in Stirling.
He said: "That was the venue of our only defeat this season and I can obviously remember it well. It was a very disappointing performance. Certainly it was one of the blacker days of the season so far.
"So we will know what to expect. Even at Ibrox I thought Stirling played well and made it difficult for us.
"But we are just concentrating on winning the league, not where or when we win it. I haven`t even looked at when it could happen.
"Let`s be quite frank about it. We have got ourselves in a great position to go on and win the title. Hopefully that is the case, and if it is, hopefully it is sooner rather than later."