Liverpool will host the quarter-final first leg April 4 at Anfield, before travelling to Manchester's Etihad Stadium six days later.
Liverpool and City have won a game apiece when they've faced each other in the Premier League this term.
On that occasion, United advanced 3-1 on aggregate on their way to the final which they lost 3-1 to Barcelona at Wembley.
The Reds are now in third place in the Premier League table.
They are the top two scorers in the Premier League, with City finding the net 85 times in 30 games.
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Near-final figures put turnout at 67.47%, just shy of the 70% the Kremlin was reported to have been aiming for before the vote. Britain and Russian Federation last week announced expulsions of diplomats over the spy case and the USA issued new sanctions.
"I've said it before and it's still the truth, it's always common in a draw that you'll get your neighbour, more or less, but to be honest I don't mind, really", added Klopp.
"Obviously the first game is at Anfield, so Liverpool will look to make a good start in the tie there".
"It's a very hard one", added Begiristain.
The league leaders have earned themselves a mid-season break after winning 40 out of 47 games in all competitions this season and will return to action against Everton before their Champions League quarter-final clash with Liverpool.
Babb doesn't think Klopp's men will be feeling any apprehension going into the Champions League match-up.
"We know the power and the strength of Liverpool".