The Dons go into Saturday's clash with the champions on the back of two wins from their opening Scottish Premiership matches against Kilmarnock and Aberdeen that have lifted the optimism of their supporters.
McInnes said on the club's official website: "I am not concerned with laying down markers. I just want us to get the reputation of being a good side. A tough side to play against.
"Win, lose or draw it will not stop us doing what we are trying to do. One result, whether it goes our way or against us, is not going to affect longer term what we are trying to do and where we want to get to."
McInnes added: "I do think the players deserve the plaudits for the way they have been playing the last couple of games but we are all aware how quickly that can turn.
"It is all about having a positive mentality and getting results. I believe fans would rather see a winning team than one who plays good football but cannot get the job done.
"I really enjoy working with this group of lads. They are a great bunch to work with. I trust them. I trust their work rate. I trust how strong they are. I trust how fit they are. I trust they will be fully committed for the whole 90 minutes on a Saturday.
"When you have that trust as a manager it is brilliant. You can look forward to putting your team out there regardless of the opposition."
Amido Balde could be in line to start for the visitors following his friendly winner against Liverpool last weekend and given the fact Celtic fly to Kazakhstan from Aberdeen Airport on Saturday afternoon, ahead of a Champions League qualifier against Shakhter Karagandy on Tuesday night.
Balde, who has only had 14 minutes of action in Celtic's five competitive matches following his summer move from Vitoria Guimaraes, said: "I feel a lot of human warmth and feel like I'm becoming a son of Celtic.
"I'm working hard to help Celtic and the fans have given me good vibrations to give me a good impression. I am thrilled to be here.
"I'm doing my very best and the time has already gone very fast. I'm happy to be surrounded by positive energy and that is why I chose Celtic in the first place."