Meanwhile, Arsenal will take on PSV Eindhoven, and Aston Villa will face Belgian side Club Brugge.
Defending champions Real Madrid, who eliminated Manchester City in the knockout phase play-offs, will go head-to-head with city rivals Atletico Madrid.
In another all-German clash, Bayern Munich will take on Bayer Leverkusen.
The winners of Bayern vs. Leverkusen will face either Aston Villa or Club Brugge in the quarter-finals.
If Arsenal overcome PSV, they will meet the winners of Real Madrid vs. Atletico Madrid in the next round.
Liverpool and PSG last met in the 2018-19 season, when the English club went on to win their sixth Champions League title.
Elsewhere, Inter Milan will take on Feyenoord, who recently knocked out AC Milan.
Barcelona will face Benfica, a side they defeated 5-4 in Lisbon during the league phase. Last season’s runners-up, Borussia Dortmund, will battle French club Lille.
First Leg: March 4/5 | Second Leg: March 11/12
First Leg: April 8/9 | Second Leg: April 15/16
First Leg: April 29/30 | Second Leg: May 6/7
The final will take place on May 31 in Munich, Germany.
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