Liverpool looked to be securing a point after a late Federico Chiesa equalizer against Crystal Palace, but former Arsenal man Eddie Nketiah rescued Palace with his strike to snatch all three points.
Liverpool have had to rely on late goals on more than one occasion this season, with the Premier League title holders looking shaky at times.
Arne Slot's side was without Hugo Ekitike after he was given a second yellow card in the Carabao Cup, with Alexander Isak taking his place in the starting lineup.
Liverpool captain Virgil van Dijk spoke after the match and admitted the team was disappointed, but also sent a message to his teammates on how to bounce back.
What message did van Dijk send after Liverpool's loss?
Van Dijk emphasized that Liverpool still have work to do to be successful this season.
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The captain said, " [We're] disappointed in our performance. Disappointed in the loss, but especially the way we went about it. I think if we got a draw here, then we took already one point too much. That is the feeling that we have right now.
"I don't think there is any reason to worry, but we have to improve pretty quickly because obviously we play in Turkey on Tuesday. We have a very difficult game there as well, so we have to be ready."
Liverpool will take on Galatasaray in the Champions League, before heading to Chelsea in the Premier League.
Van Dijk analyzed Liverpool's performance and what went wrong for the champions.
He said, "It was the basics that we didn't do well. Sometimes you can have these days. Hopefully, this is the only day this season that we do that.
"There is a reason they were 17, now 18, games unbeaten. They are very difficult to break down, very disciplined, they defend deep, and they don't mind that, and they have the quality on the break to hurt you.
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"But it started all with ourselves. We were sloppy in possession, didn't win our second ball fight, and we created momentum for them. They could have been three or four up by half-time.
"We are lucky that we have, in my opinion, the best goalkeeper in the world to save us. If we had a draw, we had one point too much.
"The biggest challenge now is to stay calm. I mentioned it many times: never get too high or too low. Just work and don't listen to the outside world too much.
"You know when you can do better and today everyone knew that. We have another opportunity on Tuesday in a very interesting stadium, big crowd, Champions League, to turn it around again and focus on the next one and next one."
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