Aberdeen may have coasted to two successive and impressive wins over Kilmarnock and Motherwell but McInnes is well aware of the threat the champions will pose to his energetic team - all fully fit, save for Barry Robson who is expected to be out for several weeks with a knee injury from the season's opening game.
McInnes, like every other manager in the SPFL Premiership, would love to be in the shoes of Neil Lennon, his Celtic counterpart, in terms of the finances available to him in these straitened times.
Picking and choosing new players without a purchase price attached to them - those who become available during the summer - is a practice with which most top-flight managers have had to become accustomed in recent times. Not Lennon, though.
"Celtic have got a squad full of international players who have been over the course before," he said. "They know how to get themselves up for league games before internationals and European games.
"I envy that Neil Lennon has these games to look forward to but they are used to that way of life. They know how to do their preparation and recovery.
"They have got a big squad, but they need it. They've lost a few players but they still are a team that can win games when not playing well because they have the know-how.
"Playing for Celtic you don't get the luxury of not being up for games; their supporters demand it. They will be ready for the game on Saturday.
"The bigger game for Celtic is obviously the qualifier [Shakhter Karagandy in Kazakhstan next Tuesday]. You can't pretend otherwise. Financially and football-wise reaching the Champions League group stages would be fantastic for the club.
"But without question they will be focused on the league game first. Good players get up for big games and this is a big game for both clubs."
McInnes has called for greater effort from an Aberdeen side which has continually failed to deliver over the past few seasons and has finished in the bottom half of the league table for four successive years.
"The hype and sense of occasion [surrounding the visit of Celtic] is there for everyone else. We have got jobs to do and roles within the game and we need to make sure we are on it for 90 minutes.
"The motivation will be there but we want to make sure we enjoy the aftermath as well as the build-up. To do that we'll need to work extremely hard and play really well. I can guarantee the first part because we've got a great attitude among the boys and I trust them.
"Whether we get the result on the day is another matter but it won't be for the want of trying and no matter what happens we won't deviate from what we are trying to do."
Jamie Langfield, the Aberdeen goalkeeper, believes that one of the reasons that Pittodrie will be so packed tomorrow has been the form of new signing Willo Flood.
The former Celtic player joined Langfield and his team-mates in the north-east during the summer and he says it was an astute piece of business by McInnes.
"I have seen lots of players come and go here," he said, "and it is no surprise to me that Willo has made a positive impact already. I was surprised that we got him as he was always a stand-out for me and it was a cracking piece of business by the manager. Dundee United always had strikers that grabbed the headlines with the likes of David Goodwillie, Johnny Russell and Jon Daly, but Willo was always the main man.
"He has been great in the first two games and I am not surprised the fans are saying that we have brought in some player."