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Individual errors from Ibrahima Konate, Andy Robertson and Virgil van Dijk saw the Reds give up three goals in 15 minutes at Craven Cottage.
They were unable to respond in the second half, with Luis Diaz's effort not enough after the defence allowed Ryan Sessegnon, Alex Iwobi and Rodrigo Muniz to score.
Alexis Mac Allister had given the visitors an early lead with a thumping effort from the edge of the box.
And Slot, while realising that such errors are uncommon for the Premier League's second-best defence, lamented them in his disappointed post-match interview.
The Dutch boss told Sky Sports: "That was a difficult spell of 14 minutes [three goals conceded].
Our second-half performance was so much better, but it is hard to win a game at this level if you concede three in the first half.
"Unfortunately we lacked time in the end to score a third.
We had chances but in the end we lacked time."
He added to Match of the Day: "It's not often we concede three goals let alone in one game or 15 minutes.
We scored a good goal but apart from that the second half performance was much more what we are like.
"Conceding three goals like we did is not of the standards of Liverpool.
In the end we lacked time to make up for the three mistakes we made in the first half."
Another rarity that went against Slot and Liverpool was the poor performance of Mohamed Salah.