Southampton manager Mark Hughes accepted the gulf between the sides shown in the opening 45 minutes but felt there were positives to take after the break.
So it was Xherdan Shaqiri's freaky substitution at half-time, despite having a fantastic opening 45 minutes on his full debut, that really stole headlines.
In the modern game where revenues are growing for the top clubs in England and across Europe, most of which are already backed by massively wealthy owners, the disparity of £10-£50 million on one player does not make a huge difference if success on the pitch is attained.
"I said to Shaqiri that I have never taken a player off at half-time after such an influential half but we wanted more control".
The 3-0 success against Saints, achieved courtesy of a Wesley Hoedt own goal and further first-half efforts from Joel Matip and Mohamed Salah, increased Liverpool's unbeaten streak at Anfield in the Premier League to 24 matches (won 16, drawn eight).
"It was not easy, to be honest", said Klopp. It's my job to sometimes deliver news that nobody wants to hear.
In six Premier League matches, the team has allowed just two goals.
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And on the verge of half-time the home side buried the game beyond any reasonable doubt, as Shaqiri fired a free-kick onto McCarthy's crossbar with Mohamed Salah running in to tap to ball into an empty net. I am fine with him, I think he is fine with me and the situation. I explained it to him, usually I don't explain substitutions but I thought today it made a bit of sense. The start was good for the team and also him as well.
"It's not cool, but should not be too serious. He was good. I liked it". He said he couldn't shout any more, so that's obviously 60 per cent less of his level.
The Dutchman is effective in a multiple of roles and over the course of the game oscillates at times between box to box midfielder to a deep-lying midfielder.
Van Dijk will likely sit out of Wednesday's League Cup clash with Chelsea, with a view to being fit and fresh for the trip to Stamford Bridge next Saturday evening.
Although Liverpool dominated the game in its entirety, they made it hard for themselves in order to get full points from that game.
"In the end we take a little bit of comfort from the second half performance in terms of not going under but clearly the damage was done in the first half".