
Sabitzer, winning his 98th cap, swept home a square pass from the right flank from Stefan Posch to break the deadlock in the 63rd minute.
Austria, preparing for this month’s tournament in Canada, Mexico and the US, had been on the back foot after Konrad Laimer was dismissed in the 37th minute for a deliberate handball that denied Tunisia a goal scoring chance.
The North Africans, who are also World Cup-bound, struck the woodwork three times in the first half through Hannibal Mejbri, Firas Chaouat and a curling free kick from Anis Ben Slimane.
Austria showed much resilience in fighting back after the break, and a minute after Sabitzer’s goal, could have been two up with Tunisia goalkeeper Abdelmouhib Chamakh pushing substitute Marco Friedl’s effort onto the post, and then Posch hitting the rebound onto the crossbar.
Austria open their Group J campaign at the World Cup against Jordan in San Francisco on June 16, while Tunisia have another warm-up match against Belgium in Brussels on Saturday before heading to Monterrey in Mexico, where Sweden are their first opponents in Group F on June 14.