The second leg of their third qualifying round tie against Kairat is in Aberdeen next Thursday with the Dons taking an away goal into the decider.
The Dons lost the away leg 2-1 but only require a 1-0 win to progress to the Europa League Playoff Round.
McInnes said: “If we play in the manner that we did in the second half [of the first leg] for 90 minutes then I feel we have an excellent opportunity to get through.
“I think Kairat are still favourites because we have to score, but we know one goal could be enough. We will have 20,000 fans at Pittodrie and a squad of players who will do everything they can to qualify.”
Goalscoring hero Kenny McLean said: “Next Thursday’s going to be a big night for us. The crowd have got behind us in the European games so far and with our fans behind us again it can make a difference.
“We’ve lost the game but we’ve given ourselves a great chance of moving forward.”