Hong Kong was expected to report around 5,000 new cases on Thursday, Now TV reported, up from the previous day's record high of 4,285 confirmed infections and an additional 7,000 preliminary positive cases.
Some media reports, citing sources, said the government planned to test up to one million people each day from March and those who failed to comply would be fined HK$10,000 ($1,282).
The government did not respond to a request for comment.
Hong Kong has adopted the same 'dynamic zero' coronavirus strategy, employed by mainland China to suppress all outbreaks.
But the scale and speed of the highly contagious Omicron variant of the virus has left authorities scrambling. Hospitals are operating at maximum or over capacity with some patients treated in makeshift open air spaces outside medical centres in chilly and rainy weather.