McGowan's remarks came after authorities in Western Australia said that four people in hotel quarantine in Perth tested positive for coronavirus following their return from India.
Western Australia health authorities are concerned that the majority of returning travellers were from India where the infection has been rising alarmingly.
McGowan told a local TV channel: "I have just been advised at this morning's emergency management team meeting that 78 of the 79 passengers on this flight had been in India recently".
"Our expectation is the number of positive cases from this group of people will grow and potentially grow significantly.
"We obviously have a problem with India. Some of the tests conducted in India either aren't accurate or aren't believable, and clearly that's causing some issues here," McGowan said.
He pinpointed that the large numbers of people arriving in Australia with the virus showed the system was failing, and he questioned if all of the test results being produced by people before boarding flights were accurate.
''If there are tests that are inaccurate or a bit dodgy being produced so that people get on flights, that is impinging the integrity of the system and that is why we are suffering these problems," he said.
McGown also urged people to not to travel to India unless there was an extreme emergency.
"In the middle of a pandemic that is killing hundreds of thousands of people across India, there is no need to go to India for anything but the most extreme of reasons now," he said, adding "I can't think of many (reasons to be allowed to travel).''
Meanwhile,
''Hundreds of thousands of new cases each day, multiple deaths. I mean, it's just an awful situation...," she said.
She confirmed that the government was also looking at issues such as the humanitarian support that Australia can provide to India.
''There's already been some discussions about ventilators and oxygen and how we might be able to support India. And, of course, there are issues with getting travellers back to Australia and how we can best manage that.
''There's a range of options clearly that need to be considered. Our primary responsibility is to keep Australians safe and secure. So that is our overarching responsibility. We do have obligations though to make sure that we can support Australians to come back home,'' she said.
According to media reports earlier, the patient zero in Perth's latest coronavirus outbreak was a man who travelled back from India after being given an exemption to travel there for a wedding.
Urging the federal government to tighten the international borders, McGowan said: ''I'd just urge the
India is struggling with a second wave of the pandemic with more than 3,00,000 daily new coronavirus cases being reported in the past few days, and hospitals in several states are reeling under a shortage of medical oxygen and beds.
On Tuesday, the
The death toll increased to 1,97,894 with 2,771 daily new fatalities, it said.
SEE ALSO:
Favipiravir shortage may get filled up in a couple of weeks provided people don't hoard
India will receive the first batch of Sputnik V COVID-19 vaccine by May 1 — in time for the third phase of its vaccination drive
WHO is ‘doing everything’ to help India with its COVID-19 crisis as GAVI waits for vaccine exports to begin again
Election Commission bans all victory processions on or after counting on May 2