The £67m signing from Roma, brought in following Loris Karius's high-profile mistakes in the Champions League final, attempted to perform a Cruyff turn on his own byline.
Liverpool hung on until full time, thus ensuring that Alisson's mistake did not cost the club any Premier League points, but the Brazilian nevertheless pledged to learn from his mistake.
"I am angry that I made a mistake that put the team in a difficult situation," Alisson told ESPN. "When one person makes a mistake, it affects everyone and everyone fought back together. We have to improve still but the result is what matters at the moment.
"It was bad judgement, I made a mistake reading the play. I didn't get a very good pass [and] we talked about that in the dressing room and I spoke to Virgil [van Dijk]. It wasn't a good pass but I could have just kicked it long.
"I wanted to keep playing and keep the possession [and] now everyone is going to analyse that. I'm not going to be stupid and make the same mistake. We have to learn from our mistakes. It is part of my game [playing out from the back with his feet] but I am not going to be arrogant to stand here and say I'm going to keep doing it."
The victory meant that Liverpool have now won their opening four games of a top-flight season for the first time since 1990-91, lifting them three points clear of Tottenham Hotspur, Chelsea and Watford.