The Reds are now just two points away from sealing their first top-flight title for 30 years after thumping Crystal Palace 4-0 to go 23 points clear at the top.
The 21-year-old produced another fine display for the league leaders, opening the scoring with a spectacular 25-yard free-kick, as Jurgen Klopp’s side moved within touching distance of the domestic crown.
Liverpool finished with 98 points last season and were agonisingly pipped by Manchester City to the title by a single point.
But with the trophy so close, Alexander-Arnold admits the players are now visualising their future success and says their pain in the past from losing out so narrowly has inspire them to achieve their goal.
“Two points… it’s quite close but a lot can happen in the Premier League,” he told Sky Sports.
“We’re close. We’ve waited a long time for this and we’ve worked hard for this over the last three years as a team, as a squad. It’s what we have dreamed of.
“We’re in a good position and hopefully we’ll be able to get across the line very soon.”
Liverpool can wrap up the title without kicking a ball if Manchester City fail to beat Chelsea at Stamford Bridge on Thursday.
But Alexander-Arnold insists the players are preparing for their next game against Manchester City at the Etihad Stadium on July 2 – rather than hoping their title rivals drop points.
“We’re not really hoping Man City drop points, we’re focusing on ourselves” he added.
“Whether that will come tomorrow or not, we’ve got to go to Man City next week. We’re just focusing on winning and we want to set a few records along the way.”