Celtic would secure the title if they beat Hibernian at Parkhead and Motherwell lose to St Mirren, although Lennon is wary that his side have failed to win their two previous encounters with Hibs this season.
"There are still a few of them not finding their best form at the minute and I don't know why," he said. "I'm looking to get a bit more out of my players at the minute.
"We've got a week now to get ready for Hibs and I want to start seeing performances at a level I expect because I didn't see that on Sunday.
"We will be going into it to win. We've been unlucky against Hibs, we were formidable in both of the games this season but we've only came away with a point at home and nothing away.
"I'll be looking for a similar performance but a better result."
Celtic are expected to appeal against the sending off of Victor Wanyama in the contentious 1-1 draw with St Mirren in Paisley on Sunday.
Wanyama was shown a straight red card for a late challenge on former Celtic player Paul McGowan, who drilled in a late equaliser from the spot after Emilio Izaguirre was adjudged to have tripped Esmael Goncalves.