Around 15,000 Hearts supporter are expected to offer noisy backing of their team in what has been described, in some quarters, as the first relegation head-to-head of the season.
Hearts started the campaign on -15 points but have already reduced the gap on 11th-placed St Mirren to nine. A victory tomorrow would take Gary Locke's side into the international break just two wins adrift of the Paisley side but Lennon insists that his focus is only on trying to catch Kilmarnock, rather than worrying about what is happening below them.
St Mirren go into the game in better fettle after ending a five-game losing sequence with a 1-1 draw against Aberdeen on Monday and Lennon wants his players to show similar levels of commitment and passion at Tynecastle. "There will be 15,000 fans wanting us to go there and crumble," he said. "So we have to adopt a siege mentality, that gladiator mentality, to continue the good work we showed on Monday. I know a lot of people will be rooting for Hearts to win to claw their way closer to us in terms of the points difference but we have our own agenda to look after.
"We don't want to go into this game with any negative thoughts. People have thrown the statistic at me that St Mirren haven't won at Tynecastle for nearly six years. Well, when I first came in they told me the club hadn't won at Pittodrie for 24 years and we soon snapped that. So records are there to be broken."
Lennon recalled Lee Mair for his first appearance of the season against Aberdeen, having told the defender he was free to leave the club during the summer. Mair said it took "a big man to admit his mistakes" and, while the manager did not concede it had been an error to shun the 32-year-old, he was delighted he had made such a positive impact on his return.
Lennon said: "Lee had been out the picture - almost out of the door at one stage - so it shows the type of man he is to battle back. I wouldn't say I made a mistake as you always do what you feel is the right thing at that time. Lee could have been away if he wanted to go but circumstances change. I'll never cut my nose off to spite my face. I class the players as my tools and as long as I have these tools available to me I'll use them."
The tools at Lennon's disposal are enough to cause Locke to be envious, given the paucity of players available to the Hearts manager. Indeed, even though St Mirren are under pressure, the man in charge at Tynecastle would gladly exchange his own club's troubles for those of his counterpart in Paisley. "A lot of the pressure on Danny has been unfair," Locke said. "I don't like talking about it, but he won a cup for St Mirren by beating us last year. He also kept them in the league and I don't know what else Danny could have done. The criticism he's receiving now is really unfair. I'd still rather be in St Mirren's position because they're second bottom and nine points ahead of us."