The versatile midfielder missed Tuesday's win over the Dutch side with a hamstring injury, but it has been confirmed that it is a grade one tear and the player is expected back in action next weekend, meaning he will be given the green light to feature against Ajax.
It was news which cheered Lennon yesterday since both James Forrest and Charlie Mulgrew have been declared doubts for tomorrow's game against Partick Thistle at Firhill.
Forrest took a kick on his ankle which has rendered him a doubt, a frustrating injury for the winger who is desperate to get a decent run of games together after a year of niggling problems, while Mulgrew had an inflamed heel.
Derk Boerrigter is expected to resume training with the rest of the squad on Monday but will miss the weekend's game.
"Kris had a scan and it's a grade one, but he is confident he will make next weekend or certainly Ajax away," revealed Lennon. "Mikael Lustig and Beram Kayal, who came off, should be okay for the weekend.
"James got a whack in the ankle and has injured ligaments. It seized up after the game and he's a major doubt. Charlie is also a doubt."
Sunday's game might be the alternative Glasgow derby, but it is the only derby - in the league at least - that Celtic are guaranteed. And Lennon will take his Parkhead side to Firhill on Sunday afternoon looking to get back to winning ways domestically after their draw at Easter Road last weekend.
The Hoops boss has been impressed at the manner in which Thistle have adapted to life in the top flight and how Alan Archibald has continued to take the Jags forward after Jackie McNamara laid the foundations for a promotion-winning season last year and is well aware that the SPFL new boys will be eager to make an impression against Celtic.
"Thistle have been excellent," said Lennon. "In the last two games I've watched them they're played really good football.
"They were unlucky not to get something from Hibs before a great win in Inverness last week.
"They have taken to the league really well. I think Alan has done a good job. He was under immense pressure because Jackie had put down a real foundation there.
Meanwhile, Lennon will look to give his players a break next week before the return leg against Ajax.
However, he won't be looking to give any of his players time off this weekend since he is keen to sustain Celtic's unbeaten league form.
"Ajax is loomingm but I have a free week next week," he said. "I can look to give the boys a rest. But I'll still go strong with the players I have available because this is a game I want to win.
"I want to keep the unbeaten run going," Lennon added.