The dramatic news yesterday that Rangers had filed a notice of intention to the Court of Session in Edinburgh to appoint administrators could signal the curtain coming down on the Ibrox side's campaign.
That news will have been greeted with some glee by Celtic fans and Lennon's challenge may now be on keeping everyone's thoughts on the job at hand.
The Hoops boss has admitted that keeping a lid on growing expectations is increasingly difficult, hence the reason he will attempt to take the squad away from the headlines this week.
Newspapers, radio phone-ins and supporters' chat has all contributed to the growing belief that Celtic are on their way to a treble – and yesterday's news has further endorsed that belief.
But Lennon knows his role is to keep the minds of his own squad firmly on the job in hand.
"It is impossible to keep a lid on people's expectations," he said. "But we have a free week this week and I want to make the most of it.
"I want them to get away from the place for a couple of days, relax and just get away from all the headlines and all the football talk.
"Physically and mentally, they have given a lot over the last few weeks and I want them fresh for the games that are now coming up.
"It'll do them the world of good to get away from all the newspaper talk about titles and what not – and hopefully they'll come back refreshed and ready to get going again.
"It's important that we know when to work them hard and when to step back a bit and it's all about getting that balance right.
"At the start of this week they've got the chance to maybe catch up a little bit with friends and family before we look towards what will be a tough game for us at Easter Road on Sunday."
While Lennon can kick back this week and watch as the heat surrounds Ibrox, he knows only too well the pressure that comes when things are so turbulent.
But having been on the brink back in October, his own post will now feel as easy as it ever can be, especially if Rangers face a 10-point penalty for going into administration. That does not mean, however, that he believes anything is a foregone conclusion.
"I think we need to be realistic and say that we still expect there to be a few more fraught moments for us between now and the end of the season on the pitch for us this season," said Lennon.
"I've been entrenched at the club for the past 11 years and I think I am my own man. But when the team are playing as well as they are at the minute, it certainly makes the job easier.
"I thoroughly enjoy the job. I enjoy the challenges that lie ahead, but I don't know that the Celtic job is one that you are ever entirely comfortable in.
"You know that in this job you are only ever one game away from a crisis.
"I managed to keep a level mood, even when things were so tough back in October and the players needed to see that and I needed that.
"It worked for us that we kept faith that we could turn it around and it is nice to be able to be in this position now.
"That isn't to say there is no pressure because there is always pressure. There is pressure on everyone at this club every day but it is certainly easier to deal with when you are where we are now."
Even as the squad is given a couple of days to ease off, there will be a couple of Celtic players who will be hard at it this week, with the likes of Emilio Izaguirre working behind the scenes at Lennoxtown as he attempts to get back to full fitness.
The Honduran broke his leg at Pittodrie at the beginning of the season but returned to action at East End Park on January 2.
He then started a couple of games, but looked well short of match fitness against Falkirk in the League Cup and Lennon understandably believes that he needs more time to be able to recaptrue his previous form.
"Emilio will play in a bounce game at Huddersfield this week," added the Bhoys boss. "We'd like him to try and get 90 minutes under his belt and see how he feels after that. It'd be a good barometer for him if he was able to get through it.
"His rehab went as well as we expected. He was bursting to get back a lot earlier but sometimes after an injury as serious as that it does take a long while to get back up to match speed.
"And Rabiu Ibrahim has just come back after being in Nigeria and he is going to play in a couple of bounce games this week, while Mikael is also going to join in with training this week."