The Foxes are two points clear at the top of the table after a late 1-0 win over Norwich City last time out.
It continues a memorable season for the Claudio Ranieri's men and a remarkable transformation from relegation certs this time last year to potential champions.
Most football fans and pundits still find it difficult to comprehend Leicester hanging on to do the unthinkable in this most open of Premier League seasons.
But the English top flight's record goalscorer doesn't doubt the club's staying power, even if he predicts the tightest imaginable climax.
'People would have thought you'd have been on the sauce!'
"Leicester weren’t at their best this weekend but they still ground out the three points," Shearer told Coral.
"It doesn’t really matter how you play at this stage of the season. It’s about fighting and scrapping for the title which is there for the taking.
"If you had said at the beginning of the season that with 11 games to go Leicester would be top of the league people would have thought you’d have been on the sauce!
"I’ve looked at all the fixtures for the four teams still in this run-in and it would not surprise me if it went down to the last game of the season and the league was won on goal difference."
Tidal wave of expectation awaits
If the Foxes do hang on it would go down as one of the biggest shocks in the history of football.
Claudio Ranieri probably won't thank Shearer for the added pressure, though, as he has spent the last few weeks playing down his side's chances of a shock title tilt.
The popular Italian has been key to playing down his side's chances, which has alleviated any pressure on the club.
But should they beat West Bromwich Albion this week even his charm won't be enough to stop the tidal wave of expectation that will wash over the King Power Stadium.