The Toffees goalkeeper caught the £80m centre-back with a tackle in the first half, forcing him off with an ACL tear that is expected to keep the Dutchman out for a long time.
Despite the incident taking place more than a month ago, the Liverpool boss has taken a fresh dig at Pickford the impact his tackle has had on the club.
Speaking ahead of the Leicester clash about Joe Gomez’s injury on England duty, Klopp said: “My English is not good enough to describe exactly what went through my mind.
“My head physio told me and everybody was sure it was serious immediately. No doubts. No hope it was only a little one.
“Injuries are part of the deal for players and managers. How they happen is something we are constantly worried about.”
“With the Virgil van Dijk situation, it was not because of the intensity of the game. It was because of a very strange decision by one person [Jordan Pickford] which made it hard to deal with.
“With Joey, it was absolutely because of the intensity of the season. That’s something we have to worry about. That’s not an excuse. That’s just an explanation.”
But Van Dijk is looking to get back on the pitch sooner as he has “started light training session”.
Having undergone surgery last month on his knee, the 29-year-old has begun the first phase of recovery by taking on low-impact training sessions to work ahead of schedule.
Medics at Anfield, though, have still maintained that the Dutchman will be out for most of the season.