The Parkhead manager was highly critical of a number of his players last weekend after they lost 3-2 to Ross County.
Without naming them, Lennon threatened to drop the men who had already set their sights on moves away from the SPL champions.
But he admitted he has now spoken to the individuals he has concerns over and smoothed things over.
He said: "I have had it out with a couple of them. I have put my point across and they have certainly said I have nothing to worry about on that score.
"I expect to see a vast improvement over the next few games. We know what we have to do now to win the title and I imagine that if we win the next three games that would almost guarantee the title regardless of what other people do."
Lennon remains convinced he was right to be critical of them after their performance as they threw away a two-goal lead.
"I was and I think I was right to be," said Lennon. "They had thrown away a two-goal lead, the second and third goals from our point of view were poor and I did not like the way we played defensively.
"And we had clear-cut chances to win the game so it was a bad day all round."
Lennon also admitted he is in favour of Celtic – and other SPL clubs – being allowed to field colt teams further down the divisions to benefit the progression of young players not quite ready for first-team action at the highest level.
He said: "I think it is a good ideas. A couple of the bigger clubs in Europe do it. From what I gather there is a lot of protest to it if it was going to happen in the SFL. Again, it is not my jurisdiction nor is the reconstruction.
"I know we are all trying to improve the game and these are just ideas that have been mooted and it will be up to the chairman to decide.