Mo Salah scored twice in the second half for Liverpool after Ashley Young’s first half red card, taking until the 75th minute to open the scoresheet from the penalty spot after a Michael Keane handball, before a late counter-attack finish.
Konate was a big talking point at full time when he escaped a second yellow card after bringing down Beto whilst on the counter.
“Ibrahima could have gone, yes,” said Klopp speaking to the BBC.
“It could have happened obviously and then we took him off and from that moment we were solid and compact.”
Joel Matip replaced the Frenchmen in the 67th minute, minutes before Salah opened the scoring.
Picking up yet another win this season, the Liverpool manager was pleased with his side's performance.
“I liked it a lot,” said Klopp.
“It is a derby; you have to consider different stuff. With a better last pass in the first-half we are three nil up. Our counter attacks and good offensive transitions we should have scored and didn’t.
“We didn’t allow them to do what they wanted. We were clear in the challenges. It is difficult because it was a deep block and they adapted slightly and set up to our strengths.
“I liked a lot of moments and then the red card was pretty influential in the game. I wanted us to be calm and ignore that we were one man up. It is difficult in the stands because it’s like now you have to create with each possession, and it took a while until we got chances.”
Liverpool’s win momentarily took them to the top of the Premier League, and they will now head off to prepare for a Europa League home tie to Toulouse on Thursday before a return to league action next Sunday, hosting Nottingham Forest.