The Netherlands captain was in imposing form during the Reds’ hard-fought 1-0 victory at Burnley which helped maintain their pursuit of leaders Manchester City, who hold a nine-point advantage having played one match more.
February’s Champions League restart – Liverpool go to Inter Milan this week – is usually the signal for Van Dijk to shift through the gears as the quest for trophies steps up.
And having proved he has successfully recovered from anterior cruciate ligament surgery to his left knee last season, Klopp now believes the centre-back has regained his superiority.
“Definitely, definitely, you can see it in all movements and everything,” he said. “We were always convinced that it would happen.
“He is completely back on track, he is absolutely at his best again.
“I would say it’s good timing because the decisive part of the season is coming up now. Long may it continue.”
Having cruised through the group stage – in which Klopp’s side became the first English club to win all six matches – Liverpool will return to the San Siro two months after they were last there beating AC Milan.
In the intervening period they have won 10 of 14 matches and lost just once, in late December, and are currently on a run of six successive victories.
“Once the draw gets done you get excited about it and you look forward to that challenge ahead. It’s going to be incredibly tough.
“Inter are going really well in Serie A, up fighting at the top and we’ll try to keep pushing on all fronts.
“We’ve got a tough game away first and we need to be at our best and do what we’ve been doing over the last six to eight weeks.
“If we do that, I believe we can get a positive result. But we look forward to it – an iconic stadium, an amazing stadium, I’m sure the crowd will be fantastic and we’ll bring a big away support.”
Fabinho scored the only goal of the game at Turf Moor on Sunday and Robertson has been impressed by the Brazilian’s goalscoring prowess of late, with the midfielder making it five goals in seven matches.
“His all-round game has been magnificent,” added Robertson.
“He is well known for breaking up the play and getting the ball back and feeding the strikers more so, but he seems to be popping up at the right place at the right time just now.
“At the start of the season we knew we all had to chip in. Some have chipped in obviously more than others but I think that’s five goals in the last seven games from Fab, an incredible run of form.
“Long may people keep on chipping in and keep scoring goals because we can’t always rely on the front men to put it in the back of the net.”