The Premiership winners go into the play-off round – the stage in which Celtic lost to Kazakh side Kairat Almaty at the start of the season.
Hearts will hope it is them, rather than Celtic, who enter at that point of the qualifiers as it will mean they have won a first title since 1960.
They can ensure that by beating Falkirk at home on Wednesday then avoiding defeat at Celtic Park on Saturday. Should they win in Glasgow, what happens in midweek – when Celtic also visit Motherwell – is irrelevant.
Hearts were last in the Champions League qualifiers after the 2005-06 season, when they finished second to Celtic.
They beat Siroki Brijeg of Bosnia & Herzegovina in the second qualifying round, before losing to AEK Athens in the next round.
Rangers, meanwhile, will be in the Conference League qualifers unless Celtic win the Scottish Cup final against Dunfermline Athletic. In that event, Danny Rohl’s side would move up to the Europa League preliminary rounds.