The manager and his assistants Pep Lijnders and Peter Kraweitz have extended their deals to 2026.
Konate told liverpoolfc.com: "I think we are all very happy, of course, as players and we're hoping that we'll be able to keep this team together for a very long time.
"At the beginning of the season there were also many players who took that step of extending their contracts as well so I think overall, along with the fans, it must be the coach, Jürgen Klopp, himself and his family who are most pleased with extending the contract.
"It's true, the month of April has been quite tough in terms of the fixture congestion. We've had lots of matches coming one after the other in rapid succession, so we are very fortunate that we have such a good medical staff supporting us. I think the training techniques and the rest patterns that we follow have helped us to keep on top of things, but of course we have to focus match by match and on staying fit and being able to give our best performance on each occasion."
On today's trip to Newcastle, Konate added: "It's not just Newcastle, to be honest, it's all the other matches that remain from now to the end of May. They are all against very good teams. I think we need to focus on our team spirit, all these opponents are going to come against us with no fear and to play a footballing game so it is important that we stick to our game plan and we take on board and listen to the advice of Jürgen Klopp, which is going to stand us in good stead."