Jay Rodriguez's equaliser ended Liverpool's 100 per cent home Premier League record and dented their hopes of setting a new highest points tally as Burnley secured a 1-1 draw at Anfield.
The champions dominated the Clarets for much of the game and Andy Robertson put them in front in a one-sided first half that saw the outstanding Nick Pope make a string of fine saves.
Roberto Firmino hit the post after the break as Liverpool remained on the front foot, but the in-form Clarets started to pose more of a threat and Rodriguez salvaged an unlikely point.
Johann Gudmundsson rattled the crossbar late on as Burnley almost snatched a stunning victory.
Liverpool need seven points from their last three games to match Manchester City's record of 100 points in a top-flight season after slipping up at home following 24 successive league wins.
Liverpool played with the swagger of champions from the start and Pope produced a brilliant reflex save to keep out Mohamed Salah's right-footed volley before the Clarets goalkeeper superbly denied the Egypt forward once again.
The Reds applied relentless pressure and they were rewarded after 34 minutes, Fabinho picking out Robertson with a pinpoint diagonal ball and the left-back ghosted in unmarked from the right to plant a header into the far corner of the net.
Burnley were on the ropes and Pope produced more heroics on the stroke of half-time, somehow palming Sadio Mane's rasping left-foot drive away for a corner.
Liverpool carried on where they left off after the break, Firmino striking the post with his left foot before Curtis Jones - making his first Premier League start - fired into the Kop.
Salah was denied a penalty when he tangled with James Tarkowski, who was then involved in an equaliser from out of the blue with just over 20 minutes to go.
The centre-back nodded down a free-kick in the Liverpool penalty area and Rodriguez swivelled to drill into the far corner with his right foot and Gudmundsson struck the bar in a dramatic finale.
What does it mean? Reds have little margin for error in pursuit of a century
It appeared Jurgen Klopp's men were going to ease to yet another win on Merseyside, but a combination of Rodriguez and Pope had other ideas.
The champions need to win all three matches against Arsenal, Chelsea and Newcastle United to better City's tally of 100.
Outstanding Pope continues to stake England claim
Liverpool could have had the points sewn up at half-time if it were not for the brilliance of Pope.
The Burnley keeper has been outstanding this season and is putting serious pressure on England number one Jordan Pickford.
Woe for Firminho
Firminho has played a big part in Liverpool's success this season, but the Brazil forward has still not scored a home goal in the league.
He was left holding his head yet again after he beat Pope with a left-footed shot but saw his effort come back off the woodwork.
Liverpool travel to the capital for a clash with Arsenal on Wednesday, while the Clarets face Wolves at Turf Moor on the same evening.