Playing against Burnley, United and Spurs all within a week was deemed too much for the defender having only just battled back from injury.
Matip has only made 11 appearances for Liverpool this season and has yet to start three consecutive league games due to regular fitness problems.
And on the eve of the trip to United, Klopp appeared to admit that he wanted to sign a new centre-back in the January transfer window but was told no by the club’s hierarchy.
“I am not a five-year-old kid any more and if I don’t get what I want I start crying,” he said.
“Most of the time in my life I didn’t get what I wanted to be, so pretty much used to that. We talk about a centre half, and yes, it would help 100 per cent.