The Ton took the spoils in the Ramsdens Cup earlier this season and face a trip to Coatbridge to kick off their Scottish Cup campaign.
Moore's side will be strong favourites to progress and the Cappielow boss, who has been named Irn-Bru First Division Manager of the Month for October, hopes class will shine through.
He said: "We got them earlier on in the season at home and we hope it might be a more open game at their bit.
"Being at home, their fans might demand that. At ours, big Todd had them very well-drilled.
"The problem was, could we break them down? It took us until half-time to do that and, once we got the first goal, we could ease off a wee bit.
"I am hoping it is more of an open game at Cliftonhill.
"I will be showing them every respect and putting out the strongest team possible on the day because we want to get through to the next round.
"Myself and Mark McNally were talking about it yesterday. Liverpool rested Gerrard and Suarez [against Swansea]. What is the point in putting them on at 2-0?
"Get 2-0 up and then take them off. We will be playing the strongest team we can."
Moore is likely to be without on-loan St Mirren defender Jason Naismith for the Rovers clash, with the Ton boss not wanting to cup-tie him ahead of his return to Paisley in January.