Monk goes into the match under no illusions about the quality of the eight-time winners of the competition, but he is looking for his side to enjoy the challenge.
"Our young players have a bit of freedom to go there," he said. "We're under no pressure, the odds are against us, but we have good belief in ourselves.
"It's important these players go through this type of experience because if you want to progress and get to the highest level of football - staff and players - we have to embrace this type of challenge and the atmosphere we will face."
Reds manager Klopp is still finalising his preparations to face Leeds in the EFL Cup quarter-final at Anfield on Tuesday.
However, he will not be contacting best friend, Huddersfield boss David Wagner, despite him having already beaten their near neighbours twice in the year he has been in charge.
"I don't ask for advice, not because I don't respect his advice, but because it is a different game," said Klopp. "Leeds made a few changes in the last few rounds so I have no idea what team Garry (Monk) will play.
"Maybe I will call him (Wagner) but not about how to beat Leeds."