The Hoops' six-game winning run in all competitions came to an end when they lost 1-0 to Leigh Griffiths' fine early strike.
It was the champions' first defeat in Leith in four years and once again hinted that Lennon's men, still six points ahead of Inverness with a game in hand at the top of the Clydesdale Bank Premier League, struggle occasionally to retain their domestic focus in the absence of a title challenge from traditional rivals Rangers, now playing in the Irn-Bru Third Division.
However, ahead of the visit of Motherwell on Wednesday, the Parkhead boss said: "We didn't need a boot up the backside, that was not a reality check.
"There was no complacency from what I could see. I would take the same intensity of performance and the desire. There was a real hunger to win the ball back, there was a real hunger to win the game, it just didn't drop for us.
"The players will be highly motivated for Motherwell, it is another big game for us. There are a lot of teams playing well and scoring goals in the SPL.
"(Motherwell manager) Stuart McCall has done a brilliant job, with the squad he has got, it is underestimated sometimes, but they are very attractive to watch and they are a dangerous team."