Dubbo Hospital's COVID-19 clinic has conducted on average 489 tests every week since mid-June.
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The latest NSW Health data on testing as of Friday morning showed 1956 tests for the coronavirus were conducted at the clinic in the four weeks to July 15.
The figure represents a test rate of 36 per 1000 people.
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The 1956 tests were among 9816 conducted in the Western NSW Local Health District in the four weeks, none of them returning a positive result.
The test rate for the health district was 34 per 1000 people.
In the four-week period, 1810 tests were conducted at Orange and 1853 at Bathurst.
Their test rates were respectively, 43 and 42 per 1000 people.
The health district continues to ask people to get tested.
"We are at a critical point in the fight to contain COVID-19," its spokeswoman said as cases rose in NSW and Victoria.
"It is absolutely essential the community works together to limit the spread of the virus by always maintaining good hand hygiene, adhering to physical distancing rules whenever possible and getting tested whenever symptoms occur, however mild."
Meanwhile, the Western NSW Primary Health Network (WNSW PHN) reports of about 1000 people being tested weekly for COVID-19 across seven GP-led and federally-funded respiratory clinics in the region this winter.
The clinics are at Bathurst, Broken Hill, Cobar, Cowra, Dubbo, Mudgee and Orange.
Since opening they have chalked up more than 7500 tests.
"Some of our respiratory clinics, including at Orange, have been especially busy during the school holidays, while we have seen a slight decline at others, including Dubbo..," WNSW PHN chief executive officer Andrew Harvey said.
The WNSW PHN reports the respiratory clinics will operate until the end of September with the "prevalence of cases in NSW in the coming weeks" determining if they stay open longer.