If those two results were perceived as taking the wind out of Liverpool's sails, Klopp is keen to focus on the positive, while acknowledging his team must do better than they did against United.
Ahead of their Wednesday night home clash with Watford he told the club's official website: “The situation is like it is. In the table we are in a very good position and now we have to make sure we use that on the pitch.
“I don’t want to close my eyes to the situation, because if United are beatable on the day, you have to do it – and we didn’t. So, that’s still [in my thoughts] somewhere.
“But, of course, I’m fine with the point. Let’s carry on. There was so much talk about the game again, like Bayern – world-class teams.
"Now we didn’t score twice against world-class teams, that happened to a lot of other teams as well.
“It was a difficult game. I still think we should have done better, 100 per cent. We will work on that."
Klopp is keen to focus on the next challenge as seventh-placed Watford visit Anfield on Wednesday, while City host West Ham.
And he called on the home crowd to help them in their task.
"We don’t have a lot of time [to prepare] for the Watford game but we play at home and hopefully our people will help us,” he added.