At least judging on that perfect performance, all the indications are that the Reds are in fantastic shape going into the new Premier League season, which they begin with a trip to Arsenal.
One player who isn't looking so healthy, however, is James Milner, who had to be substituted in the 41st minute.
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The 30-year-old may have been somewhat relieved to be taken off after starting the game at left-back - despite Alberto Moreno being in the squad - and being given a torrid time by Lionel Messi.
But Milner is now a serious doubt for the Arsenal game, with Klopp admitting his concerns.
"Milly, it doesn't look too good. We have no real idea what it is but it's something with the heel and we have to do a scan and then we'll know more," he said, as per Goal.com.
There's a cruel irony to Milner's injury, in the week when his retirement from England should have allowed him to focus more fully on playing for Liverpool.
The midfielder now faces a race to be fit in time for the new season, and to make matters worse, he is not Klopp's only injury worry.
Daniel Sturridge was not included in the team to face Barca because he was struggling with his hip and it's still unclear whether he will face the Gunners either.
If they play anything like they did on this occasion, they should be just fine without them, but Klopp will want his whole squad to choose from as soon as possible if he is to get them back challenging at the top of the table.
Can Liverpool beat Arsenal without Sturridge and Milner? Have your say in the comments.