However Marshall said the SA state government was now considering its border arrangement with New Zealand.
"We are looking very closely at the arrangements with regards to our borders with New Zealand," he said.
"They've done extraordinarily well and we're hopeful that we might be able to lift that border restriction with New Zealand when it's safe to do so."
SBS reported that at least 90 New Zealand travellers have flown to Victoria, Western Australia and Tasmania after arriving in Sydney.
About 65 people have gone on into Victoria since the Australian travel bubble began - with only 10 of them not located.
About 23 are reported to have also slipped into Western Australia.
However Kiwis arriving back in New Zealand from Australia are still required to go into managed isolation quarantine for two weeks.
Transtasman bubble break: 55 Kiwis travelled to Melbourne, 25 to Perth, premiers say