Their defence have improved immensely this season and they conceded just two goals in the Premier League this season.
"I'm really, really happy about how we played the game today, because it was clear it was a really hard game, we knew that form the last few games when we played Southampton, but today we were in a really good mood", Klopp said.
Roberto Firmino's stoppage-time victor at Anfield on Tuesday raised the roof as PSG were put to the sword in the dying minutes of the game. The only problem was defensively.
"At the end of the season we will see how it was, not at the beginning".
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Klopp started with a 4-2-3-1 featuring Shaqiri in a number 10 role and the switch worked well, as the Swiss star's cross resulted in an own goal by Wesley Hoedt, before Mo Salah tapped in the third after his free-kick bounced down off the crossbar. We have to work on that with him more often.
Klopp was also able to offer good news on the only possible downsides on the day for Liverpool, the halftime removal of Xherdan Shaqiri and the second-half substitution of Virgil van Dijk, who left the pitch clutching his ribs.
The German boss said: "He already had a bruise in the ribs before the PSG game, which is very uncomfortable and he got another hit there. But he was good and I liked it". "He said he couldn't shout any more, so that's obviously 60 percent less of his level!" It should be absolutely OK, hopefully.
"I wanted not to do the same thing as always and expect something special from the boys, but help them a bit with a different position".
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Southampton manager Mark Hughes admitted his side struggled to get a handle on their opponents and went behind too early.
It has to be said that Liverpool were 3-0 up at the break, though, so they weren't exactly at threat of losing their lead. You obviously want to start well at Anfield and that was a setback.
The second half was rather a non-event, with Salah's disallowed finish after James Milner's shot was cleared off the line the closest Liverpool came to adding gloss to the scoreline. He tried everything and he is a good player to have.
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