The Jambos could all but gift-wrap the Ladbrokes Premiership title for Brendan Rodgers' rampant Hoops if they beat the Dons at Pittodrie on Saturday.
That would allow the runaway leaders to wrap up their sixth consecutive Scottish crown when they face Dundee at Dens Park on Sunday.
Loading article content
But McInnes says he has not even considered the ramifications of a loss this weekend.
Instead the Reds boss - whose side sit second and are looking to claim a club-record ninth-straight win at home - wants his men to press home their advantage over the fourth-placed Jambos.
Asked about Celtic's title hopes this weekend, he said: "I hadn't even thought about that to be honest. What's at the forefront of our mind is trying to deliver a strong team performance. The challenge from Hearts will be big enough so we will just concentrate on that.
"If you are going to have a successful campaign, I think you have to be strong at home. An Aberdeen team has to deal with winning games at home and it's about having that mentality. Hopefully we can find a way to win on Saturday.
"I don't think Hearts are coming up here trying to nick a draw. They will be here looking for a win. When you put all that into the mix, it has all the ingredients of a good game.
"If we can go 17 points clear of Hearts by winning, I'd have taken that before the start of the season. Last season they made it clear they were coming for us and this season have tried to challenge us again.
"The challenge has been met head on and we're in a good position at the minute. But we know how quickly that can change so we need to concentrate."
Meanwhile, the Dons' hopes of building a new stadium in the Kingsford area of the city have been dealt a blow after Aberdeenshire Council Infrastructure Services Committee recommended the project be rejected.
The final decision on the club's planning application will be made when Pittodrie chiefs go before Aberdeen City Council on June 21.
But Aberdeen executive vice-chairman George Yule insists the club remain optimistic.
He said: "The club will continue to work with project stakeholders and other consultees to ensure we deliver this much-needed project, one which represents a £50million private investment at a time of significant economic challenge for the whole region.
"Our plans represent an unmissable opportunity to secure the future of the club and extend the reach of the community trust and we continue to have ongoing dialogue with Aberdeen City Council via the formal planning process regardless of today's decision by Aberdeenshire Council, with the objective of delivering this important development."