Considering the Foxes barely escaped relegation last season and were an incredible 5000-1 to become top-flight champions back in August, if Claudio Ranieri's men do go on to achieve the unthinkable, will it be the biggest upset in the history of the game?
With eight games still to go and Tottenham hovering just five points behind, it's certain there will still be plenty of twists and turns as the pressure cranks up on the run in.
Leicester's remaining fixtures are not unduly intimidating however, especially for a side who have already beaten Chelsea, Liverpool and Manchester City this term.
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Whether they will blow up in the home straight remains to be seen, but with over three-quarters of the season complete it's looking more and more likely that they will go the distance.
Football has thrown up some unbelievable shocks over the years but it's tough to think of any that are even on the same page as a potential Leicester Premier League triumph.
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Greece stunned the world when they came from nowhere to win Euro 2004 by defeating hosts Portugal 1-0 in the final.
Ranked 19th in the world at the time, the 150/1 long shots played a brand of football that was far from easy on the eye but proved highly effective as the minnows 'one-nilled' their way to glory.
In similar fashion, Denmark came away victorious from Euro '92 after they turned over a reunified Germany team who were World Champions at the time.
Denmark had only been given a place in the tournament 11 days before it began, replacing Yugoslavia who had been banned due to the ongoing Balkan conflict.
Although these results were massive shocks in their own right, tournament football is far more prone to anomalous results due to the relatively small number of games played.
Denmark actually only needed to play five games to win the Henri Delaunay trophy, winning two drawing two and losing one.
In terms of outsiders winning league championships, Hellas Verona's 1985 Scudetto win certainly ranks highly.
Having never won Serie A in their history - either before or since - perennial yo-yo team Verona managed to miraculously break Juventus' stranglehold on the Italian championship.
The aforementioned Serie A season was the only year when referees were allocated games on a random basis, as opposed to the usual method in which an official was assigned to a specific match by the 'Designatori Arbitrali'.
Suspiciously however, when the selection process reverted to the referees commission the following year, regular service was resumed and Juventus won their seventh Scudetto in nine years. Who says Italian football has an integrity issue?!
This year's FA Cup has thrown up some surprise results, with holders Arsenal being knocked out at home to Watford being the latest example.
But on the hallowed Wembley turf back in 1973, Sunderland became the first Second Division side in over 40 years to win the famous trophy.
They contested the final with Leeds United who dominated English football throughout the decade and were expected to crush their north-eastern opponents with ease.
Leeds, who were the current FA cup holders, somehow conspired to lose 1-0 with Ian Porterfield's strike proving the difference in front of a vociferous 100,000 strong crowd.
Sunderland's team were the only FA Cup winners of the 20th century not to field any full international players. It's fair to say they were significant underdogs!
Wimbledon also deserve an honourable mention for overcoming huge odds to win the 1988 FA Cup over giants of the time Liverpool, with their Dave Beasant becoming the first goalkeeper to save a penalty in the final.
People may point to Blackburn Rovers' Premier League winning side of 1994/5 as being unexpected champions, but owner Jack Walker had invested millions in the team.
Their 'SAS' strike force of Alan Shearer and Chris Sutton fired them to the title, but Sutton had become the most expensive player in English football at £5 million when he joined the Ewood Park outfit in July 1994.
So if Leicester - a city synonymous with rugby and crisps more than football - manage to win the 2015/16 Premier League it will certainly go down in history as truly one of the greatest upsets football has ever witnessed.