The Reds currently trail their Premier League rivals by three points in the battle for the top four this season.
Klopp has enjoyed a successful three years at the helm of Liverpool but his career could have taken a very different path.
The German boss was highly sought-after during his time at Borussia Dortmund.
And Klopp admits one of the offers he received was from the hierarchy of Old Trafford.
"Yes, there was interest - Manchester United, yes, they were interested a year or a year and a half before, but it didn't feel right," he told Phil Thompson on Sky Sports.
Jurgen Klopp and Jose Mourinho previous meetings

“I couldn't say Man United is not my club, it didn't feel right”
Jurgen Klopp
"I couldn't say Man United is not my club, it didn't feel right."
Klopp had planned to take a sabbatical from football after an underwhelming final season in the Bundesliga, only for Liverpool's offer to make him change his mind.
"Yes, I'm a football romantic," he continued.
"I'm confident but not as confident as other managers, thinking this club will call, that club will call.
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SKY
"A lot of clubs called and I said 'No, no chance, I need to make a break now'.
"Even my wife knew, if Liverpool is calling, I go.
"When Liverpool called, I had no chance. It was actually too early for my plans. I said, 'Wow, come on!'
"But then coming here and feeling the spirit immediately, it was just, for me, a match in heaven."
Klopp welcomes runaway league leaders Manchester City to Anfield tomorrow afternoon.