Celtic will meet Slovan Bratislava or Kairat Almaty in the Champions League play-off round.
If Scottish Premiership runners-up Rangers get past Viktoria Plzen in the third round of qualifying, they take on either RB Salzburg or Club Brugge.
The play-off ties will take place over 19/20 August and 26/27 August, with the winners progressing to the league phase of the tournament.
The losers over two legs will drop into the Europa League at the league phase stage.
If Rangers lose out to Czech side Viktoria Plzen, that also secures a place in the league phase of the Europa League.
Celtic hammered Slovan Bratislava 5-1 in Glasgow last season on their way to a 21st-place finish in the Champions League table.
Brendan Rodgers’ side won three and drew three of their league phase matches, going on to lose narrowly to Bayern Munich in the play-offs for the last 16.
Celtic have never played Kairat Almaty before but have beaten Shakhter Karagandy and Astana from Kazakhstan in 2013 and 2017.
Rangers last reached the group stage of the tournament in 2022.
