The Reds have four matches remaining, starting with this afternoon’s visit of Europe-chasing Burnley to Anfield (3pm), having already racked up 92 points.
With just five needed to match last season’s tally of 97, Jurgen Klopp’s side know that three victories from four games will see them surpass City’s all-time record.
Pep Guardiola’s charges earned an unprecedented total of 100 points in 2017-18, but Liverpool can still accrue a maximum of 104.
They face Burnley, Arsenal, Chelsea and Newcastle in the remaining four games of the season as they look to do so.
But Klopp and his players have largely been quiet on the possibility of setting a new record, repeatedly stressing that they are not focused on it and simply want to win the next game.
Now, however, Alexander-Arnold – a Champions League and Premier League winner after just three seasons as a regular first-team starter – insists he and his team-mates very much have the record in their sights.
“It is historic and probably something people haven’t seen before,” Alexander-Arnold told Liverpool’s official website, with Klopp’s side having managed 30 wins from 34 top-flight games this term – the fastest any English Football League team has ever reached that total.
“But it just shows how good we’ve been over the course of the season and how consistent we’ve been.
“We’ve worked hard to be able to set these type of records. We want to keep pushing, we want to keep winning and go into every game with the confidence and belief in ourselves that we can win and we should win.
“So it’s about our mentality now in the last four games and making sure we go into them with the right mentality knowing that next season is going to be tough for us.
“After we won the league I think that [the City points record] is the main one we wanted to go after, making sure we are remembered as an historic team in the Premier League and making sure that it’s a season people will never forget.
“I think there’s no better way to do that than to set a points record that people will find hard to achieve, so it’s something that we want to do.
“We want to push ourselves, we’ve got four games left… why not go for the full 12 and see how far we can get.
“Like I said, our focus is on our mentality and making sure that we are right going into these last four.”
Klopp admits he knows it will be a significant achievement if Liverpool do surpass the 100-point mark – but will not take anything for granted given their fixtures.
Burnley are contending for a Europa League qualifying spot while Arsenal are keen to clinch fifth spot.
Chelsea, after that, are still not sure of Champions League qualification while Newcastle may hope to seal a top-half spot on the final day of the season.
Klopp said: “When I think about the next four opponents and think we will get 12, 10, or whatever points, I can’t do that.
“How could I assume we could get all these points? When I think about 92 points, I think how could we get 97 last year (finishing second), it’s unbelievable.
“First and foremost you have to fight for the three points.
“That’s what we did tonight and I like that a lot because that’s the mother and the father of each win that you really work hard for it, and the boys did that again, that’s great.”
Liverpool will be without captain Jordan Henderson for the remaining matches of the campaign after he picked up a knee injury at Brighton.
But the injured midfielder will still lift the Premier League trophy later this month after his team-mates take on Chelsea on July 22.
Klopp said ahead of the visit of the Clarets: “Hendo, the best possible of all bad news, it’s a knee injury. But no surgery needed and he will not play anymore in the latter stages of this season.
“But I’m pretty positive that he will start with us the new season. We were all concerned obviously in the moment when we saw him going down and he left the pitch and stuff like this.
“Yesterday when we got the news it was a big relief for all of us. It’s not cool, obviously, but it’s the best we could get.
“Hendo will be back. He’s a quick healer, he will be back soon.
“It was an awful moment when he went down and left the pitch, we knew immediately. Hendo is, in German would we say an animal.
“He fights with everything. If he has pain, he will never tell you. He can deal really well with pain.
“In this moment you saw he knew something happen that shouldn’t have happened. We all felt it. It was a complete mood killer.
“The boys came in, didn’t know exactly, 3-1, great, I told them winning an away game in the Premier League is exceptional for all teams in the world and it’s exceptional for us so we should be really happy about it and they were happy about it.
“Then you realise, ‘Oh Hendo’s round the corner on a bed.’ Everybody felt for him – absolutely.
“He deserves to lift the trophy and he will lift the trophy. As I said, no surgery needed, that’s the good news.
“For all the rest we can make our own decisions, a few decisions at least, how it will be around the trophy lift but Hendo will lift the trophy.”