However, Brendan Rodgers lauded his team's tactical discipline and said, "It looked like we were going to get the goal, but I was really pleased with how we kept going.
Such has been Jamie Vardy's slumpy form that he has seen the back of the net only twice this year when he scored against Aston Villa in March.
It was Leicester who got the lead and though they had the match. Ben Chilwell hit the back of the net in the 90th minute with an inch-perfect shot.
With the win, Rodgers' men consolidated the third spot in Premier League standings, maintaining a 5-point gap with fourth-placed Chelsea.
Foxes manager Brendan Rodgers feels that the boys showed great courage at Wolverhampton to restrict the hosts from taking any advantage.
Leicester meet Villa next for the second leg of the semifinal at Villa Park on January 28.
Liverpool have now taken a lead of 13 points at the top of the Premier League points table.
Brendan Rodgers, employed with Leicester City, is having a terrific season and it will be a hard bargain for Arsenal to acquire his service.
Unai Emery must have realised by now that a Champions League qualification will be a minimum requirement if he wishes to keep his job as a manager at Arsenal.
