Luis Suarez hit a sensational hat-trick to bag the points but Kenny Dalglish’s team are still only eighth in the standings.
“We were beaten by the better team,” Lambert told the press after the game on Saturday.
“We lost goals that were disappointing but there's not many times I've walked away from here disappointed. Tonight I am, but I can't be too harsh on the team, they've got the club to where they are today.
“I'm pretty sure everyone thought Norwich would be down [near the bottom of the table]. I've got nothing but praise for the team, not just this year but the last three years.
“Liverpool are a world-renowned club with established players and I think their position in the league is a false dawn. They're a top side with some world-class players. Two years ago we were in League One.
“[We made] three bad mistakes, but I won't blame any individuals. As a team we lost three bad goals.
“The finishing is great but it should never have happened in the first place. You can't give somebody of that [Suarez’s] calibre chances and time on the ball. He's a top player.”
The Canaries are not yet mathematically safe from relegation despite exceeding expectations in their first season back in the top flight, and Lambert remains pragmatic.
“It's been a really hard season. We've had to be right on our game to get any points whatsoever,” he stated.
“The objective was to stay in the league and we're still ahead of everyone that's getting relegated. We just need to get over that line and hopefully we will.
“Everyone is new to this league and the tempo of the game is a lot quicker. The calibre of player is extremely high and we've had to adapt to that. Even the teams that are bottom are very good.
“You need to ride your luck in certain games and play well and we've done that more often than not.”
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