The draw is set to take place at UEFA headquarters in Nyon, Switzerland, from 12:00 GMT on Monday and the Reds will be one of the top seeds.
Competition rules state United cannot face a Premier League team, although that has no impact on this stage as the three other English sides are also seeded.
The last-32 first leg is scheduled for 18 February and the second on 25 February. It has been confirmed that seeded teams will play at home in the return fixture.
Scroll down to see the confirmed top seeds and, more importantly, the 16 unseeded clubs United can face.