The Hoops squad are facing a 3-0 deficit from their opening last-16 Champions League tie against Juventus.
And while the Celtic manager admitted after the first-leg at Celtic Park last month that his team would need a miracle to prevail in the competition, he has nevertheless prepared for the game as positively as possible.
And he has told his players to look at tomorrow's meeting against the Italian champions in isolation, rather than as a game where the writing is already on the wall.
It has been a hugely impressive European campaign for Celtic and Lennon does not want the spirit of his squad to be punctured by a demoralising and hefty aggregate defeat to the Italians.
"Realistically, most people will look at the tie and think that it is beyond us now but it is still a game that we want to win," he said.
"Whatever the outcome of the tie, I think it would be a huge feather in the cap of this team if they can go to Turin and beat Juventus and win in Italy and against the Serie A champions.
"So there is no way that we are going into the game in any kind of haphazard way. We're going there to be positive and to try and to give a right good account of ourselves.
"There are a lot of incentives for us – if we can win we'll equal the club record of away wins in Europe so there is much for us to play for.
"The other thing is that if we could go and score early, you just never know. But we want to show that the result at Celtic Park flattered them – and it really did.
"They are a class side and have shown that over a long period of time, but I'd like them to go and compete."
Lennon expects that Charlie Mulgrew should be fit for the trip to Italy, although Lennon was coy about just how he will set out his side to compete against Juve.
Joe Ledley, who started the first-leg on the bench, looks to have done enough to press home his case for inclusion although much will depend on just how Lennon sets up his team.
Certainly , though, it will be a game where nerves and courage are required and as such Lennon will look to those who have served him well in recent seasons.
"Joe had a wee lull and a bit of a dip in the middle of the season, although a large part of that was down to injury problems," said the Hoops boss.
"But since then he has shown what he is capable of. He is a lad that doesn't let the team down.
"He gives his all, his attitude is good and I know how honoured he was to be handed the captaincy.
"He's a player that I'd like to keep at the club for the foreseeable future and we'll see how talks on that front progress. But certainly he'd be in my thoughts for the game, although I do have a lot to think about on that front."
Celtic now have the chance to make sure there is an competitive edge right through until the end of the season, if they can get through their Scottish Cup semi-final.
Given the fact that the league title will be secured sooner rather than later it means that there will still be players looking to keep their place in the team for a possible showcase end to the campaign and Lennon has called on his squad to show the necessary hunger between now and then.
He had considered giving players a break as soon as the title was mathematically secured, but he has since had reason to reconsider that theory.
"I might change my mind now when it comes to giving players a rest after that performance on Wednesday (Celtic were beaten 2-1 by Motherwell)," he said.
"Some of them need to do some work. But first of all it is Juventus, prioritising the league and then we'll see where it goes from there.
"I want them to keep going and I don't want them to let it fizzle out because I do feel that there has been a lot of hard work and a lot of progress being made this season.
"We've got ourselves into a semi-final now and that gives us something else to aim for."
Celtic are barely off the plane after tomorrow night's game before they will head north to face Ross County at the weekend.
Lennon hopes he will be able to shuffle his pack for that one. "Charlie will be back in contention for tomorrow but that's probably about it," he said.
"Rami Gershon has started some light training and we'd hope that he and one or two others will come into contention for that game against Ross County.
"It is a busy time again but it is what we wanted. You want to be playing games and hopefully we'll get a chance to use the full squad – but I don't play players for the sake of it.
"They've got to show that they've earned their place."
A few of Lennon's players will look to show their worth tomorrow night.