One option being considered by the government is giving residents a Dine & Discover-style voucher to access free rapid antigen tests at pharmacies, The Daily Telegraph reports.
Another is handing out the kits to parents through their children's schools.
But NSW residents are still unable to report their at-home test results, with pressure is building on the government to launch the function in the ServiceNSW app and website immediately.
Opposition Leader Chris Minns has indicated registration capabilities are expected on Wednesday, but said it is days too late.
"Senior health bureaucrats are flying blind because they don't have the true picture of the Omicron variant and its transmission in the community as a result of these changes not being made available," Mr Minns said on Tuesday.
NSW Health has repeatedly warned the daily case numbers, which have surpassed several records in recent weeks, were not giving a full picture of the virus' circulation in the community without RATs being tracked.
Customer Service and Digital Minister Victor Dominello on Monday night said the developers were "working around the clock to get this live very soon".
All other states and territories aside from the ACT and Western Australia have beaten NSW to providing a way for residents to register their results from RATs.
WA only lifted a ban on the tests on Monday.
"We've been told for years now that ServiceNSW is the best functioning app of any jurisdiction in the country, and yet it doesn't seem to be able to perform this basic function," Mr Minns said.
Meanwhile, new restrictions on music festivals also came into force on Tuesday requiring organisers to ensure no one sings or dances on the premises aside from the performers.
Organisers of the Grapevine Gathering music and wine festival in the Hunter Valley said they were "extremely heartbroken" to be cancelling the event four days before it was due to begin.
The Tamworth Country Music Festival was also cancelled last week due to the impact of restrictions.
The festivals are the sort of event NSW Health has previously advised people to take a RAT before attending, but they are scarce and the results unknown to health authorities.
Unions want tests made available to essential workers, with the Transport Workers Union calling on parliamentary members to give up the free tests they are being provided for themselves and staff and donate them to workers.
Hospitalisations rose again on Tuesday to 2186 as the state recorded 11 more deaths and 25,870 cases, positive results reported from 36 per cent of all PCR tests carried out.
There were 170 people in intensive care and 51 people on ventilators.
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