Celtic will host LASK in the first leg on 18 or 19 August, with the return fixture the following week.
LASK claimed their domestic title for only the second time last season—their first since 1965—and, like Martin O’Neill’s side, qualified directly for the play-off round.
Given the other possible opponents were Viking Stavanger, Celje, Ararat-Armenia, Kairat Almaty, Levski Sofia, AGF Aarhus or Sabah, this is probably the toughest draw Celtic could have received.
Dietmar Kuhbauer’s team have a lower coefficient than Celje, but Austria’s league is ranked far higher than Slovenia’s.
Rangers will be at home for the first leg of their Europa League play-off on 20 August, and Hearts would be as well if they beat Benfica.
If they drop into the Conference League play-offs instead, both would still play at home on that date.
Motherwell would also have a home first leg if they progress, while Hibs would start away from home.