Aberdeen manager suggested his side were still a little short of where they need to be to win the title after they drew 1-1 with Dundee.
Adam Rooney's first half goal was cancelled out by Stephen McGinn's second half equaliser, though Aberdeen felt they had a strong penalty claim before half-time when Willie Dyer handled a Niall McGinn shot.
"It was a poor second half performance, we never managed it well enough," McInnes told BBC Scotland.
"The second half shows me we've still got plenty to work on."
The draw meant Aberdeen missed the chance to go level at the top of the table with Celtic, with McInnes unhappy the Dons did not build on a promising first half.
"The way we started the game, we were totally in charge," he said. "I thought Dundee played like an away team in the first half in terms of coming off the game.
"We had total dominance I felt and played the game in their half. We only caused ourselves problems when we gave away cheap possession.
"I think we should get the penalty before half-time, for me it's a clear penalty, we should be getting that. If that goes in it's different, but that said we're still in charge of the game at 1-0.
"We gave Dundee encouragement just by being too extravagant with our play, playing in wrong areas, and not playing properly and cleverly and we allowed the momentum to swing around.
"We just need to keep trying to win games. Prior to the game we had 44 points from 48 out with the two Celtic games.
"Obviously for us it's two points dropped, we thought we could come here and win. We just need to dust ourselves down and try and win the next one."
Dundee manager Paul Hartley was delighted to keep up their good record against Aberdeen, which has seen two draws and a win against the Dons in the Scottish Cup.
He said: "I thought it was a good point. The games we've played against Aberdeen have been hard fought, they know they're in a game when they face us.
"We've got the toughest run-in. A point towards it [a top six finish], who knows what could happen. Four games left, 12 points to play for, we'll give it our best shot."