Prior to yesterday's game, the Reds had spent just three minutes of their 10 home Premier League fixtures so far this season in a losing position.
However, it took until the 52nd minute of the meeting with the Foxes for Mohamed Salah to cancel out Jamie Vardy's third-minute opener and set the hosts on their way to victory.
The manner in which Jürgen Klopp's side responded to finding themselves in unfamiliar territory was one of the highlights of the win for Karius.
He told Liverpoolfc.com: "I don't think we've faced that situation often at home so it was tough to be down after three minutes but we believed in ourselves.
"[In the] first half, [we] created a lot of chances and at half-time we spoke about it and knew we could turn the game around.
"We wanted to win the second half, everyone believed in themselves, and [it was] a great team performance.
"It wasn't the best start but we responded well, even in the first half."
Claude Puel opted for a change of approach as the game ticked into the final 15 minutes, with fleet-footed counter-attacking specialists Vardy and Riyad Mahrez replaced by the physically imposing Islam Slimani and Shinji Okazaki.
But the Reds' defence coped well with both tests - another factor that pleased Karius at full-time.
"They didn't really have that [many] counter-attacks today, I think we managed well," he added.
"Also, the set-pieces, especially the throw-ins, are very dangerous. It's tough at times to defend them and I think we did really well given the goal we conceded was our fault, really.
"They didn't really have much so well done to the team.
"They're not the only team that plays long balls and [attacks] through set-pieces - that's the Premier League so you have to adapt to that and we did well.
"Leicester have a good mix normally, [they use] set-pieces but can also play [well], so a good team and we got a good win today."
The German went on to explain how he and his defenders knew that if they kept it tight in the second period, their attacking colleagues would turn the game around.
He continued: "Mo [Salah] scored twice again today but also everyone around him is working hard to help him create those chances.
"Everyone up front, you always know in one moment they can produce magic and score goals.
"We knew we had to keep the game [tight] and not concede any more second half and [then] we could turn it around and that's what we did."