Well aware that Saints are huge underdogs ahead of the game, the Buddies gaffer believes that, with some hard work and a little bit of luck, his side can shock their hosts and take something from the game.
"On paper, no-one would expect us to take anything," he said.
"It's 11 v 11 and sometimes with enough grit, determination and sweat, you can earn a result when you are playing against a quality side.
"I am not saying that it will be anything other than difficult. Many will look at the two teams and see nothing but a complete mismatch in terms of quality, but football does not work like that.
"We have had a bit of time off, we're fresh and we've worked hard on a couple of things. We'll see how the game goes but in terms of the experience, it is something that we are all looking forward to very much."
St Mirren's chances are not helped by the fact that they are already without Paul McGowan, while Thomas Reilly came back from international duty with Scotland Under-19's with an ankle injury and Darren McGregor is sidelined for the season with a cruciate ligament injury.
If, however, they are to catch Celtic out, they will fancy that this is as good a time as any.
The vast majority of the Hoops squad have been away on international duty as well while their trip to Barcelona will also be at the back of their minds.
"I think Celtic have done outstandingly well when you consider the way they have played in their European games and then in their league games," said Lennon.
"I really think that Neil Lennon deserves a lot of credit because it is not easy to compete at that kind of level.
"The way we feel about Saturday's game is the way they will feel about Tuesday's.
"I think if you are in the Celtic manager's job there is intense pressure on you constantly and Neil has done really well to cope with that.
"Since he took the job I think he has shown by the results he has got just how much he has learned on the job, both on and off the pitch."
Lennon, though, remains confident that his side will give a decent account of themselves.
"These are the games that as a player you want to play in," he said.
"Just as everyone connected with Celtic on Tuesday night will take a look about them when they are playing arguably the best team in the world, we want to go into this game and learn what we can.
"We have been scoring goals this season, there is a confidence about us and I have been pleased with the start we have made to the campaign.
"We have scored more than double the number of goals this season than we had at the same stage of the campaign last year and that is a tremendous improvement.
"We'll be looking to go and test ourselves on Saturday and see how we get on."