As the game entered stoppage time, Liverpool had a penalty shout when Divock Origi fell under the challenge of Jack Stephens in the box. Occasions like this is what you play for.
However, despite their bid to reach Wembley for the second successive season falling at the final hurdle the Reds boss said he was more than satisfied with the performance. Live coverage of the game will be on Sky Sports 1 and Sky Sports 1 HD.
Jurgen Klopp: "Of course we want to be part of the final but we don't just want that, we want to go there and win it". No. Arsenal won in the last minute.
Yet Southampton's defence, along with man-of-the-match Oriol Romeu, were at the heart of the victory.
Especially considering the departure of Fonte, van Dijk has had to be the new leader in the back.
The outcome is also a tribute to the tactics of Claude Puel and the work done throughout the club at large. He somehow kept this ball out when it looked certain to cross the line.
Needing to score a minimum one goal to stand any chance of buying that ticket to Wembley, Liverpool came unstuck, another time, against Southampton, with the Saints moving into the final of the EFL (League) Cup in impressive fashion.
Sadio Mane has been unavailable in recent weeks for Liverpool, owing to his African Cup of Nations commitments. Anything less than a win will be a massive blow to their title hopes, given they are already 10 points behind the Blues.
"In the first leg we should have been further ahead".
Alexander Arnold has started just one league game this season
Jordan Henderson is expected to play despite still feeling discomfort from a heel injury while Nathaniel Clyne is a slight doubt after missing training earlier this week.
Without the 24-year-old attacker, Liverpool lack blistering pace and dynamism in attack.
Liverpool's Daniel Sturridge offers nothing when he does not score, according to former Anfield defender Jamie Carragher.
Liverpool now have failed to win any of their last four League Cup semi-finals at home.
Shane Long scores the victor. We shouldn't think about a draw, because then they will start to punish us.
He said: "The goals we have conceded in 2017 have been a little bit of the same story".
Southampton made sure of the result late on when substitute Long gave them the lead after a quick counter.
This is Liverpool's third loss against a club that is in the bottom half of the table this season.