It currently stands as the fifth friendly of a six-game schedule, and comes three days before the Community Shield against Man City.
Liverpool are therefore set to stop in Thailand, Singapore, Germany and Austria before returning to England at the end of July.
Klopp and his players will settle for a training camp in Austria, with just under two weeks to work away from media obligations.
The Reds last played Salzburg during the 2020 pre-season, with Patson Daka and Rhian Brewster both scoring braces in a 2-2 draw at the Red Bull Arena.
The two sides met twice in the Champions League group stage in 2019, with Liverpool winning both ties for a combined score of 6-3 – Takumi Minamino and Erling Haaland were among the starters for Salzburg.
It remains to be seen whether this latest announcement completes the pre-season schedule, but it is certainly a busy one already.
Liverpool are due to play Man United, Crystal Palace, RB Leipzig, Red Bull Salzburg, Man City and Strasbourg ahead of the Premier League opener away to Fulham.
