Whether it is significantly closer to winning a major trophy is more open to debate. That European adventure was an unexpected bonus.
Karius was given a 10-match run in the Premier League last season, his first in England, between September and December but was taken out of the firing line by Klopp after criticism began to mount over his performances.
It was his group stage debut for the Reds and the second time he has scored on his debut in that stage or later after bagging a goal for Basel in 2013-2014 against Chelsea. Defensive mistakes and poor finishing cost Liverpool dearly in a game that they dominated against their most likely rivals for the top spot in the group.
However, Liverpool had not waited 1,009 days to let such a setback derail their return to the Champions League and they upped the tempo. However, Sevilla has lost all three of its Champions League trips to England.
The Reds are desperate to get their fortunes back on track after Saturday's 5-0 mauling at the hands of Manchester City, a result that sullied an otherwise encouraging start to the campaign. "It is not a general defending problem but we have to improve 100 per cent". Yes, the team has made a lot of changes, including, in the leadership of the club. The question is whether Sevilla is ready to punish it.
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Liverpool's heady mixture of attacking verve, profligacy and occasional rearguard alarm bells makes them a thrill to watch for any neutral, but it is hard to envisage the likes of Real Madrid failing to punish them more severely than their fellow Spanish side did here in escaping with a point. Emery went to Paris Saint-Germain, and his successor Jorge Sampaoli left at the end of last season for the Argentina job.
Man City, up against Dutch champions Feyenoord, scored after just 90 seconds into the game thanks to a John Stones header. Midfielder Ever Benega has returned from Inter Milan, with departing centre-back Adil Rami replaced by Dane Simon Kjaer.
The goal-set of Sevilla is equal to seven fights.
Berizzo, though, is wary.
'If nothing happens overnight then Loris will start, yes, but no it doesn't mean that (Karius is now number one),' said the Reds boss.