Firmino, who scored his team's second goal at the start of the second half against Tottenham, had to travel back to Liverpool separately from his teammates.
Lamela's goal from a tight angle was a mere consolation, though, as Spurs slipped to consecutive league defeats for the first time since the final two games of the 2015-16 season, meaning they remain outside the top four.
Spurs play host to Liverpool and will look to put an end to the Reds' unbeaten streak this campaign but given the way Klopp's side has gone about things thus far, the Lily Whites face a tough test.
"Tottenham won't be happy but because we were so good, it was hard for them". We need to improve a lot.
"Today, we had 85 brilliant minutes and then unfortunately we didn't finish the game off".
"Last year, for example, we had no chance to focus on one competition because we had to qualify for the Champions League and I don't think that even Gary Neville would have said: 'Quarterfinals of the Champions League, let City win'".
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Meanwhile, the Liverpool manager is unsure on the severity of Firmino's facial injury that forced him off in the 74th minute on Saturday following a duel with Jan Vertongen.
Waddle's claim comes as Liverpool begin their seventh season since last winning a trophy.
"We have, I'm not sure, but maybe an injury with Roberto".
"I don't know what he means with that, to be honest".
"It was a free-kick for Tottenham, right?"
Klopp was cautious after the incident but refused to blame Vertonghen as he said he did not see the incident from his spot on the touchline.
However, the fixtures are set to come thick and fast from now on, starting with a trip to Wembley for their Premier League clash against Tottenham before they open their Champions League account against Paris Saint-Germain at Anfield next week. At this stage, the No.9 has not been ruled out.