McInnes feels the ability to spend money to bring players like Stuart Armstrong and Gary Mackay-Steven in "certainly helped" Celtic in their title bid.
But the gaffer doesn't accept that the Glasgow giants are untouchable and plans to take them on again next season - hopefully with the help of other SPFL clubs.
McInnes said: "From their point of view, spending a couple of million quid in January certainly helped them. Bringing the two boys in certainly gave them something.
"We congratulate them and they were always going to win it if they showed their true potential.
"The challenge is to get closer to Celtic next year. That's for everyone, not just us, but certainly from our point of view we want to keep improving.
"We are 10 points better off than we were last season but even then we always knew Celtic would have to have a poor season.
"But we don't accept it, we will roll our sleeves up and give a bit more next season. The head-to-head games have made a difference because last season we beat them but dropped points elsewhere.
"This season it has been the other way around. We need to put the two of them together. We have every reason to feel confident."
Source: Sky Sports