States and territories face an increased quarantine burden after international flights were diverted away from Melbourne, which is battling to contain a new coronavirus outbreak.
Mr O’Farrell said he realised the news would be extremely upsetting to those who have spent weeks trying to arrange travel back to Australia.
The Air India flights had already been postponed amid uncertainty forced by the coronavirus pandemic.
Many of those stuck in India and wishing to return to Australia have shared their despair about once again seeing their flight options postponed.
Australian resident Saakshi Nikhanj, 34, is living in lockdown in the Indian city of Chandigarh with her one-year-old son.
Separated from her husband and five-year-old son in Melbourne, Ms Nikhanj was finally booked on a return flight to Melbourne after repeated attempts to return to Australia.
“I’m really shattered – emotionally I’m feeling very distressed – it is very stressful,” she told SBS News.
“Every time I see my son on video I blast into tears… the government should really understand the plight of their citizens. I have lost all hope.”
Four flights from Delhi to Melbourne - re-scheduled for 15, 17, 18 and 19 July - will not carry passengers into Australia.
A flight from Delhi to Sydney re-scheduled for 17 July will not carry passengers into Australia, while a flight from Delhi to Sydney re-scheduled for 15 July will carry a reduced number of passengers.
Australian resident Rajveer Kaur, who is in India with her husband and six-year-old son, has also had her flight to Melbourne cancelled.
She said her repeated attempts to return home have been plagued by airline delays.
"It’s hopelessness. Our life is in limbo, we don’t know where to go,” she told SBS News.
“They are not caring about us that are stuck here in India."
Flight numbers were drastically slashed due to a travel ban put in place back in March.
Those stuck overseas are struggling with the financial burden of expensive flights, issues with delays, and requirements for them to pay for hotel quarantine.
Mr O’Farrell said the high commission remained in contact with authorities in Australia about flight options from India.
“We have supported 39 flights having returned over 8,300 people,” he said.
“We know many of you have been trying for weeks and months to secure tickets on these flights and are making sure that is well understood in Australia.”
Sydney-based Australian citizen Pavan Kumar’s wife Lakshmi and their one-year-old son are among those scheduled to return on the remaining Sydney flight still taking passengers.
But he said the current uncertainty meant the family remained on edge about their coming reunion.
“We are really worried that they might get quarantined in Delhi,” he told SBS News.
“My wife is really anxious and she is just hoping that she doesn’t get stranded.”