The champions go to Dens Park on the back of a four-match winning SPL run which has opened up a five-point lead at the top.
Celtic's form stands in stark contrast to that of Dundee, who are six points off the pace at the bottom having being promoted unexpectedly following Rangers' demise.
But Lennon said: "They have nothing to lose against us and there is no expectation level for them either, so their players, like most teams, will try and raise their game for us.
"It's a very dangerous game and one we can't take our eye off. It's never easy and I'm not going to take the game lightly.
"They were thrown in and it was pretty difficult for their manager Barry Smith. He didn't have a lot of time as he was basically preparing for the First Division.
"He is a good young manager and they have done okay, and probably as well as could be expected really. They haven't detached themselves from everyone else but they will need to get some sort of momentum.
"But from our point of view, we would like to win the game and move on."