The St Mirren manager had been driving along the M8 to training when his thoughts on how to arrest his team's seemingly inexorable decline were suddenly interrupted by the thud of another car barrelling into the back of him. Lennon was largely unhurt in the collision and took it upon himself to help the young driver push his bashed-up car to the side of the road before driving him away from the motorway so he could make the necessary phonecalls out of the rain. Upon exchanging details, a flicker of recognition crossed the young man's face. "You're Danny Lennon, aren't you?" he asked. Lennon nodded. "Your team burst my coupon last week."
The story is recounted by Lennon with typical humour, another sign that he just cannot catch a break. Six months on from winning the League Cup, he and St Mirren have got themselves into one of those tailspins where they do not seem capable of digging out a result no matter what they try.
They are still without a win after six games, with five league matches yielding a solitary point and their defence of the League Cup ended at the first hurdle by Queen of the South. To try to stop the rot, Lennon has tweaked his tactics, rotated his personnel and adopted different formations, all to no avail. The team simply cannot buy a win at this moment in time.
An ongoing malaise of this nature usually only ends in one of two ways. One is that the team finally enjoys a bit of luck, snaps the cycle and starts to win again, as Hibernian have done in recent weeks. The alternative is that the manager loses his job. Lennon knows as much. There is a school of thought that any manager who wins a trophy for a provincial club deserves to be given more time to ride out any subsequent sticky patch. It is a noble sentiment but one rarely put into practise. Alex Smith, the last manager to win a major trophy for St Mirren 26 years before Lennon, was dismissed less than a year on from his big day at Hampden. The prospect of history repeating itself will grow the longer St Mirren go without securing a win.
There is a theory that Lennon now has only two matches in which to save his skin. It is one that has been dismissed both by the manager and figures inside the club, who insist they will assess matters only on a game-by-game basis. And yet, such an ultimatum would make sense.
St Mirren's next two games are away to Hibernian and then Aberdeen at home a week on Monday. Should they fail to take anything from either game then the gap between them and bottom side Hearts could, in theory, be down to three points by the time St Mirren travel to Tynecastle on October 5.
Faced with the prospect of dropping below a team who began the campaign with a 15-point handicap could be the moment the St Mirren board decide enough is enough. Speculation surrounding an impending change of ownership at the club - a group of Swiss businessmen are rumoured to have shown an interest in buying a substantial shareholding - has also been shot down, thus obliterating the conspiracy theory that the reason the board had not removed the manager was because they themselves were about to exit stage left and thus did not need the hassle or the expense.
If external factors are to be discounted, then only an upturn in results can save Lennon in the weeks ahead. There is an irony that he takes his team to Easter Road tomorrow. The recent renaissance of Hibs under Pat Fenlon offers hope to every struggling team that a seemingly hopeless situation can be retrieved, although their improved form will also make it harder for St Mirren than it possibly would have been a month or so ago.
"You look at Pat a few weeks ago," said Lennon. "He was getting similar flak about his credentials as a manager and his position. The question was: is he good enough? He gave Hibs their two worst results 9-0 in Europe [the aggregate loss to Malmo in the Europa League] and 5-1 in a cup final [to Hearts last year] but given time, he's started to bring a couple of results together. They're now on the edge of the top six."
Lennon has always come well-prepared for interviews and press conferences, memorising or entering key phrases, statistics and pointers into his iPad or phone. Of late, he has taken to reiterating a list of his achievements as St Mirren manager, almost like a candidate from The Apprentice pleading for boardroom clemency from Lord Sugar. The firing finger of chairman Stewart Gilmour will likely be pointed in his direction if results do not improve soon but Lennon wondered aloud whether any potential successor would be able to do any better.
"If I did not feel I was capable of taking us out of this then I would not be here," he said. "But if the decision comes that I'm no longer wanted here as manager, then I would ask: what is it you expect from a new manager coming in? Do they want him to keep them in the league? Because I have done that every season. Do they want him to have success in cups? I have taken them to four quarter-finals in three seasons and won a national cup. Bring a new man in and there is no guarantee he's going to match that, never mind improve on it."
Ultimately, though, it is the future rather than the past that will dictate whether Lennon remains in post. "Have I got the backing of my board? No doubt. But I know we've got to win games. It's as pure and simple as that."