The Reds suffered a second defeat of the Premier League season after Danny Ings struck against his former club inside the opening two minutes.
The visitors applied pressure to their opponents for the duration of the second period in search of a leveller, but were unable to breach the Saints defence.
Read on for a summary of Klopp's post-match press conference…
On how much of a frustration the game was for him…
A big one, to be honest. Very frustrating, just because it's so unnecessary but it still happens. We had a bad start in the game, we played completely into Southampton's hands and gave the game away, we have to admit now, in the first few minutes because after that we were not calm enough to create the opportunities to turn it around. The first half was massively influenced by the start, but with the break it meant we could settle it a little bit. Then we were dominant in the right areas, had the moments but then the decision-making was not that good. The last pass, we missed the last pass. I heard now we only had one shot on target; we had a lot of shots next to the target which we did not finish, but even with them we probably did not have enough for the moments we had. Our fault, my responsibility and that's it.
On how much of a concern it is to have not scored for two games in succession…
Of course we worry about it. These are our problems. Football-wise, you don't have a lot of different problems – it's like you defend bad or we attack not as good as we can or we create not enough. They are football problems; yes, we are worried about that but football problems you solve with football and that's what we are working on. We know about the situation, we are not silly, and we have to show a reaction, 100 per cent.
On giving credit to Southampton for their performance…
Definitely, definitely. Look, nothing should be taken away, 100 per cent. Southampton deserved it, they fought, they ran their socks off with all they had. They missed a lot of players and did really, really, really well and that's clear. But I am mostly concerned about our game and I didn't like that too much.
On his respect for Ralph Hasenhuttl…
If we would have more time we would probably be friends, but we live far away from each other. I respect a lot his work; it was a great, great, great set-up tonight. I admire their game tonight not that much because I think we should have done much better and then it would have looked different. We have another chance, we will play Southampton again and we have to show them we can do better, but between now and then we have a lot of other games and we have to show [what we can do] in them.
On whether he gets 'angry' with his players in this period or factors in they've done so well for so long...
Both. I know they are great guys, they are super boys, it's a fantastic group of players. But anyway tonight they were not good. Yes, when I think they should have done better then I get angry – not long but I get angry. They know that and it was always like this. We cannot only be like this [pats his head] all the time just because we won something in the past. But we don't have to make it bigger than it is, but it's big. So we didn't win the last game, the game before that, the last four games – I don't know, is that right? And that's all our fault – mainly my fault but the boys had a hand in as well. We have to change that. If you bring yourself in a situation like we did tonight against an opponent like Southampton, then you play with the fire, let me say it like this. Southampton is too good for that, Premier League teams are too good for that. And we don't score late goals because we scored late goals in our past. You do that because you put the opponent under that much pressure that they cannot cope with it anymore. I think Southampton was tonight on the edge of it but they still could cope with it because we helped. That's all. We were not good enough tonight.