There was one last plot twist as Firmino bagged Liverpool's equaliser to cap a breath-taking clash that was nearly as memorable as the Reds' 4-3 victory over Arsenal in the corresponding fixture last season.
But Klopp rallied behind his side despite dropping two points from a winning position.
"This is another draw we should have won and that's a very important thing because it's a development", Klopp said.
A draw was certainly the fairest outcome in a thrilling match where neither side could defend competently, with Firmino's intervention ensuring Arsene Wenger is yet to beat Klopp's Liverpool in five attempts. It felt like we shouldn't have conceded but we did.
"We've all been in games like that where you score and they go down the other end and score and there's always a mistake for a goal but at 2-1 what can you do to stop that game being a basketball game?" [There was] misjudgement around the second goal. I was not happy in that moment, but I really thought that was at least the minimum of what we deserved.
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"It's not about changing our style of play, but for a few minutes we need to be able to shut up shop", said the 31-year-old.
"The result is not what we wanted, but the performance for 89 minutes was what we wanted".
However the Liverpool manager also admitted that his team may need to be pragmatic in their approach in future.
The last round of games before Christmas is headlined by a hugely anticipated clash between Arsenal and Liverpool.
Liverpool have shown this season they can verily throw away handsome leads - cue the 3-3 with Sevilla in the UEFA Champions League.
"Then we struck back and it's point; usually if you go to Arsenal and get a point it is absolutely OK, we are not insane that we can not see that".