However, the Pittodrie gaffer is convinced his team have the bottle for the battle to be best of the rest.
McInnes said: “It’s clear the difference in Celtic this season. They could end up with a record points tally if they continue this way.
“The fight is not with Celtic . The fight is to make sure we get second spot.
“We’re in a league within a league, that’s how it’s panned out this year.
“There are fights at the bottom of the table and fights for top six. But we are in a fight to finish second with three other teams.
“I feel we’re good enough and competitive enough to be there at the death. We need to show that in the rest of the campaign.
“I have to say there were a lot of good performances the other night. It was a follow-on from the previous matches when we had five wins in a row.
“There have been plenty of strong performances individually in recent weeks and we had that again on Wednesday night.
“It’s important we get back to winning ways against Partick Thistle.”
McInnes will have new boy Ryan Christie available to face the Jags at Pittodrie tomorrow after the on-loan Hoops midfielder had to sit it out against his parent club.