The versatile 20-year-old is a Merseyside native and product of a famed academy system at Anfield.
He has already passed the 50-appearance mark for his home-town team, while also earning five senior England caps and gracing a World Cup squad.
Alexander-Arnold concedes that things could not be going much better, with there a desire on his part to continue proving himself and earn an extended stay with the Reds.
He told Sky Sports: “Yeah, definitely. To play for Liverpool is the dream, the aim, and I can't see it changing to be fair.
“As long as possible I want to have that relationship with Liverpool, to be a Liverpool player.
“To say I have done that for the whole of my career is something I have dreamed of being able to say.”
Alexander-Arnold’s ambition is likely to be tested down the years by further arrivals at Anfield, with Jurgen Klopp having already invested heavily in recent windows in an effort to add greater depth to his squad.
That approach is delivering rich reward at present, with Liverpool unbeaten through 12 Premier League games and in a position to be able to rotate through multiple competitions.
Alexander-Arnold added: “The club brought in quality players. There's a lot more squad depth, and there are world class players all across the pitch. Looking at the season so far, there have been a lot of rotations.
“It's not just going to be 11 players that are successful, it's the whole team, it's 20, 25 of us that need to play our part and need to keep the momentum up.”
With quality players on board and an experienced coach at the helm, silverware is now the main objective for Liverpool – with a barren run on the trophy front stretching back to 2012.
“We're still in three of the competitions, so we'll aim for all three of them, but we're not just in them to have fun, put on a show, we're there to win,” added Alexander-Arnold.
“We're not a team that likes to lose or even likes to draw. Every game we want to win.
“You know it would mean a lot to the fans if we did win the league. We want to do it, everyone wants to do it in their career, but it's important to stay short-focused, focus on the next game, because that's what is going to stop you, one bad result.
“At the end of the season if you miss out by one point you will look back to where you went wrong, and that could be a game in October that you should have won and only got a draw.
“The best chance we have of being successful is to not slip up and keep working hard to get three points on the board.”