The Ibrox faithful were criticised after they were caught on camera belting out a string of sectarian anthems and other unacceptable songs during Saturday`s Scottish Football League Third Division match at Berwick.
Club bosses even issued a statement half way through the Glasgow side`s 3-1 win at Shielfield expressing their concern over the chants. And broadcasters ESPN also made an on-air apology to viewers who were offended by the supporters` actions as they screened the match live.
McCoist on Monday 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 that 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."
Uefa issued Rangers with a 40,000 euros (£35,180) fine and banned its fans from travelling to Sweden for the club`s Champions League qualifier against Malmo last season after they were charged with sectarian singing during a Europa League match at PSV Eindhoven in March, 2011.
But 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 yesterday`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 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."