South Korea became the second team to seal qualification for 2022 FIFA World Cup from the Asian qualifiers.
Arsenal host Liverpool in the Carabao Cup semi-final 2nd leg fixture at Emirates Stadium on Thursday.
Goals from Fabinho, Alex Oxlade-Chamberlain and Takumi Minamino helped Klopp’s side register a massive win.
Liverpool thrashed Brentford 3-0 to leapfrog Chelsea into second-spot in the Premier League points table on Sunday.
Caoimhin Kelleher made two saves in the spot-kicks as the home side prevailed 5-4 and progressed to a last-four showdown with Arsenal in January.
Matchday five sees Liverpool host Porto at Anfield, with the top spot in Group B already secured thanks to four victories in the opening four matches.
Second-half goals by Takumi Minamino and Divock Origi proved to be the difference, as the Reds advanced to the quarter-finals of the Carabao Cup.
Liverpool registered a hard-fought 2-0 victory over Preston North End in the Carabao Cup on Wednesday night.