Complacency remains the biggest concern for health and police officials as the region enters its fourth consecutive day with no new COVID-19 cases.
While a majority of cases across the Murrumbidgee Local Health District have been traced back to overseas travel and person to person contact with a know positive case, the region has now seen one case where the point of spread remains unknown.
"That's really concerning, and it means we need to test more and more where possible," MLHD CEO Jill Ludford said.
As Easter approaches, Ms Ludford reminded the public not to gather in public places and said it was "critical" that everyone stays at home when they can.
"Easter this year will not be as we know it," she said.
"While normally this holiday is spent camping, meeting up with friends and family or in the park hunting for Easter eggs, this year it will be done virtually and at home."
Further to residents in the region remaining at home, Ms Ludford urged others not to travel to the Murrumbidgee district.
"Do not come to this region over Easter, we do not want to further spread the virus and we only have small hospitals in this district so we can't afford to overwhelm them with COVID-19 patients," she said.
"I am worried about a post-Easter increase in positive cases, if people don't get tested, we will start to see those community transmissions over the coming weeks."
Wagga Police Superintendent Bob Noble said the force of law stood behind Ms Ludford's message.
"This is no time for complacency," he said.
"We know it's really hard not being able to do what you normally do at Easter.
"People are facing the prospect of many more weeks of this too, but this year, we just cant do Easter as normal and I must remind you all that non-essential travel is against the law."
Superintendent Noble said across the Riverina Police District, warnings and fines continue to be issued.
"Last week, six people were issued with $1000 on the spot fines for failure to observe ministerial directions, and that will continue," he said.
"There have also been at least 20 warnings issued in the last seven days across the district and I'm sure that is mirrored across other districts.
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As a small portion of the public continue to disobey the new laws put in place to stop the spread of COVID-19, Superintendent Noble said police were growing less willing to express their power of discretion.
"The patience of police is starting to wear thin, it is starting to become tested," he said.
"Having to focus on these issues is taking us away from all the other important things we need to be focusing on like strengthening our domestic violence support networks.
"We remind you now that if people don't obey these restrictions, we will issue fines and we will put people before the courts where appropriate."
Wagga MP Joe McGirr urged the public to take heed in the MLHD and police warnings.
"The results are very encouraging, both at a state and local level, but this is not a time to be complacent," he said.
"As Jill Ludford said, we have a case now where we don't know the source and that is a concern for the whole community."
Ms Ludford reminded the public ahead of Easter to stay home and stay safe.
"It is early days and we should continue to be absolutely vigilant and test as much as we can, because wherever we can get close contacts in isolation, we can reduce the spread," she said.