Whereas United are joint top of the Premier League and unbeaten, their long-time rivals are currently languishing in seventh and struggling for form.
It was thought last weekend's 3-2 win away to Leicester City would change Liverpool's fortunes yet they've drawn their last two games 1-1.
In midweek, the Reds were dominant away to Spartak Moscow in the Champions League but simply couldn't find the back of the net.
And against Newcastle United on Sunday, Liverpool wasted chance after chance to eventually settle for a disappointing point at St James' Park.
Defensively the Reds were once again woeful, with Newcastle's goal coming from a simple ball straight through the middle of their defence.
Jonjo Shelvey was the provider and Joselu was the finisher, the Spanish striker beating Simon Mignolet somewhat fortuitously when Joel Matip's tackle rebounded off his shin.
Klopp cut a frustrated figure on the sidelines throughout the 90 minutes and let out his emotions in an honest post-match interview.
"I am disappointed, frustrated, whatever you want," said the German. "Away at Newcastle for each team will be a difficult place to play.
"We scored a wonderful goal and created wonderful chances. We shot the ball over the goal even when it was empty.
"We created five or six outstanding, big chances. Usually we score with one of them. I didn't see one more chances for Newcastle.
"They got one chance and scored. That doesn't feel too fair. We had a clear penalty. I don't know what he has to do - pull the shirt off him?"
Klopp added that he and his players must "accept what happened and move on", so it's probably a good job the Liverpool boss doesn't have a Twitter account.
If he did, he would see that he's being mocked left right and centre for his side's result, especially from United fans.
Twitter account @AngelGxmes has penned a funny eight-tweet thread sarcastically explaining why Klopp is "the best manager in world football".
As you can probably already guess, none of the tweets are serious.
1. Thread of why Jurgen Klopp is the best manager in world football. Likes and RTs appreciated
2. Says "Boom"
3. Makes his players run fast
4. Shows pashun (passion)
5. Has exquisite dental hygiene
6. Has incredible judgement in the transfer market
7. And just to make sure you don't forget, he says "Boom"
8. End of thread, I've scouted every manager on the globe for this thread so support is appreciated
Brilliant. Only a matter of time before some Liverpool fan creates something similar about Jose Mourinho now...