City have scored 29 goals in the Third Division this season, the same number as the Light Blues, albeit over 12 games rather than 11.
While the temptation might normally be for them to sit in and try to hold out for a money-spinning replay at Borough Briggs two days from now, McCoist doesn’t anticipate that.
Instead he is sure Ross Jack’s men – who have won eight competitive fixtures out of 16 in all this term including their last three – will go for the jugular.
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McCoist said: “You look as Ross’s team and they’re a goalscoring side. They get players forward and take chances.
“They took the lead here against us at Ibrox in the league earlier this season although the result didn’t work out for them and we came back to score a few goals.
“I fully expect them to come and have a go at us, probably moreso because it is a cup tie. There isn’t any doubt about that.
“One thing we shouldn’t forget is the Elgin players and staff will have been as disappointed last week’s game was off as we were.
“They had a real opportunity to make a mark and to go back to the top of the league and I’d imafine they’ll have been right up for that.
“Ross will make sure that carries over to this Sunday and I expect a really tough game, as it was at Ibrox earlier in the season.
“We ran out comfortable winners in the end but for long periods in the game it was tough for us and they knocked the ball about well.”