MANCHESTER, England -- Trent Alexander-Arnold has told ESPN FC he is confident there is much more to come from Liverpool in the coming months -- but says the club aren't talking about winning the title just yet.
Liverpool are level on points with Manchester City and Chelsea at the top of the Premier League after concluding a run of seven matches within the last 23 days.
And Alexander-Arnold believes Liverpool are yet to reach the levels of performances they know they can, but feels their strong start is a clear sign of progress.
"There's a lot of room for improvement," the 20-year-old said at an event to promote Kaspersky Lab where he played chess against world champion Magnus Carlsen. "We've got a lot more to give and a lot more to improve on.
"We know that we're not a perfect team. That's something we want to achieve -- to be as close to perfection as possible. That's what we're working towards everyday. We want to win as many games as possible. It doesn't matter how we do it, we're not fussed as long as we get the three points.
"That's something we've shown this season -- even when we haven't been at our best, we're still grinding out results and getting results on the board. That's something that's important to us and important for any team that wants to be successful."
Liverpool's unbeaten start to the league campaign has led to talk this could be the season the club ends their long wait for the title. The club have not been champions of England since 1990.
When manager of Borussia Dortmund, Klopp banned the squad from talking about winning the Bundesliga and Alexander-Arnold has stressed there has been no talk within the Liverpool dressing room about winning the league this term.
"No, definitely not," he said. "There's only been eight games, so we've still got another 30 to go. It's a long season. We know it's going to be very difficult, but it's an aim of ours and we want to be around the top of the league come May.
"We just focus on ourselves and focus on getting three points every time we step out on the pitch. That's something we aim to do and something that we want to do. The word from the manager is to do that."
Alexander-Arnold plays chess regularly with Liverpool teammate Ben Woodburn, but was beaten by Carlsen in 17 moves -- while Microsoft founder Bill Gates was beaten in nine when he faced the Norwegian.
"I managed eight more moves than he [Bill Gates] did, so it's something to be proud of," he said.