They would not be the first team to do so.
As Andrew Robertson and Sadio Mane both scored after the 86th minute to snatch a 2-1 victory from the jaws of defeat, there were echoes of Manchester United's similarly dramatic triumph over the same side in April 2009.
United went on to lift the Premier League trophy, finishing four points ahead of Liverpool.
The parallels are not lost on Michael Owen, who played for both Liverpool and Man Utd and has spotted a familiar mental steel in Jurgen Klopp's leaders ahead of Sunday's top-of-the-table duel with Manchester City.
"It's almost similar to Manchester United in Peter [Schmeichel]'s day," says Owen, sitting alongside the Danish goalkeeper.
"Liverpool never say die. You always fancy them. I think Don Hutchison said in commentary that as soon as Liverpool score one, you fancy them to go on to win the game, and he was dead right.
"It was a frustrating game for them. It's been frustrating in a lot of games this season.
"But somehow Liverpool have just managed to grind away, keep getting the points, because they haven't been at their absolute top-class best in many games this season. But I suppose they're going to need to next weekend."
Part 2: Title rivals fighting for every inch after last season's duel
Part 3: History favours Liverpool as leaders face champions
Part 4: Watch the best moments between Liverpool and Man City
Part 5: Can Aguero finally break his Anfield duck?