Pink was forced to reschedule four shows this week after falling ill with a gastric virus.
"Thank you @katyperry for coming to the show and for pretending to be a lizard with my girl:) we love you darlin'!" she posted.
Jackman applauded Pink for pulling off an "inspiring" show.
"The amazing @pink. One of the best concerts I have ever seen! And, she's been sick all week. Inspiring," he wrote on Instagram, alongside a photo of him standing with Pink backstage at her show.
The singer has one more date with Sydney and she heads to Brisbane afterwards. Her cancelled Sydney concerts, which were to take place on August 3, and August 6 through August 9, were rescheduled to August 24, and September 17 through September 19.
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