United currently hold a strong 4-0 advantage over Austrian Bundesliga side LASK Linz and look overwhelming favourites to secure a last-eight spot against either the Turkish Super Lig and Danish SuperLiga outfits.
In what appears to be a favourable draw for the Premier League giants, Antonio Conte's Internazionale or Getafe will meet either Rangers of Bayer Leverkusen in a potentially mouth-watering quarter-final tie.
Meanwhile, Wolverhampton will need to overcome Olympiakos to book a place against record five-time winners Sevilla or Serie A side AS Rona.
QF1: Wolfsburg or Shakhtar Donetsk vs Eintracht Frankfurt or FC Basel
QF2: LASK or Manchester United vs Istanbul Basaksehir or FC Copenhagen
QF3: Inter or Getafe vs Rangers FC or Bayer Leverkusen
QF4: Olympiakos or Wolverhampton vs CF Sevilla or AS Roma
SF1: Olympiakos or Wolves / Sevilla or Roma vs LASK or Manchester United / Istanbul Basaksehir or Copenhagen
SF2: Inter or Getafe / Rangers or Bayer Leverkusen vs Wolfsburg or Shakhtar Donetsk / Eintracht Frankfurt or Basel
The final will take place in Poland on August 21.