"Are the boys going to get complacent?" he asked. "I doubt it very much.

"They will maybe want to try to increase (the lead) if they can. I think that's the mode of thinking here – no complacency, don't take anything for granted.

"You're fresh, you're fit, you look hungry, let's stay that way."

Parkhead erupted with joy when news of Killie's late winner filtered its way up the M77 from Rugby Park to Glasgow's east end.

Lennon refused to lend his voice to those celebrations, quickly making it clear after the Jambos dismantling that there is work to be done for his side to see off Steven Gerrard's team and clinch their latest crown.

It is the same kind of level-headed thinking that saw the Celtic boss refuse to over-react when his side were stunned at home by Rangers in the final game before the winter break.

But he admits it does help having perennial winners such as skipper Scott Brown, Callum McGregor and James Forrest in the dressing room to ensure eyes do not wander off the prize.

"It's about keeping an even keel because there will be peaks and troughs as they go along," he said.

"There's more difficult games to come and then we've got the split, so there's a lot of football still to go.

"(To continue winning year after year) is a hard habit to develop with people asking questions of you all the time.

"Motivation is high so it's a good habit to have and very pleasing obviously.

"It shows they are still not willing to give anything up and want to take on all challengers. The desire in the team is really impressive.

"The willingness to keep going right to the final whistle and score more goals was fantastic last night. We even had Kris Ajer galloping down the wing right to the end.

"We're in a good place at the minute but we're not getting carried away. It's just one game at a time.

"It's just good having those players who have been there and done it many, many times.

"Sometimes you think they will come off it. They have done everything that they want to do but there's a deep rooted motivation to keep going and going.

"That's to their credit. It brings out the best in the rest of them as well."