The draw is due to be made at UEFA headquarters in Nyon, Switzerland at noon on Friday after United booked their place in the last 16 with a 6-1 aggregate win over Club Bruges.
The biggest concern would be meeting Inter Milan who were forced to play the second leg of their tie at home to Bulgarian side Ludogorets on Thursday night at an empty San Siro following an alarming increase in the number of coronavirus cases in northern Italy. Inter will also face Juventus behind closed doors in their Serie A clash in Turin on Sunday.
Other opponents in countries around Europe could also pose a health hazard for United and manager Ole Gunnar Solskjaer admitted that it is impossible to ignore the global threat.
'I think the whole world has to think differently and be aware of the virus,' said Solskjaer. 'I think we'll definitely look at things. You can see what happens in Italy with the games and I think it's a worry for everyone. We've got to take the precautions we need to.'
As well as Inter, United could be drawn against their Italian rivals Roma, German clubs Eintracht Frankfurt, Wolfsburg or Bayer Leverkusen, Red Bull Salzburg or LASK of Austria, Spanish duo Sevilla and Getafe, the Turks of Istanbul Basaksehir, Olympiacos of Greece, Shakhtar Donetsk in Ukraine, Swiss club Basel and Copenhagen of Denmark.