The Reds were 3-0 up at the break in the Premier League clash at Anfield, courtesy of strikes by Adam Lallana, James Milner – from the penalty spot – and Sadio Mane.
Hull were reduced to 10 men with the award of the spot-kick, as Ahmed Elmohamady was dismissed, but struck back through David Meyler six minutes after the interval.
However, Philippe Coutinho whipped another sublime long-ranger past the goalkeeper within seconds and another Milner penalty capped off the win.
Klopp was especially satisfied with the level of Liverpool’s counter-pressing as they claimed a fourth consecutive victory, though felt more could have been shown as time ticked away.