One previously infected patient died in the week beginning May 13, the National Health and Family Planning Commission said in a statement late Monday, taking the total number of fatalities from the virus to 36.
But the number of confirmed cases was unchanged at 130. Of those, 72 have recovered and been discharged from hospital, it said, adding that no evidence of human-to-human transmission had been detected so far.
Experts fear the possibility of the virus mutating into a form easily transmissible between humans, with the potential to trigger a pandemic.
Flu viruses are often seasonal and much of China is experiencing warmer weather following the end of winter.
But the head of the World Health Organization (WHO) warned that the evolution of the outbreak was still unpredictable.
"Influenza viruses constantly reinvent themselves. No one can predict the future course of this outbreak," Margaret Chan said Monday at the World Health Assembly in Geneva.
"Although the source of human infection with the virus is not yet fully understood, the number of new cases dropped dramatically following the closing of live poultry markets," she added.
China was accused of covering up the outbreak of Severe Acute Respiratory Syndrome (SARS) that killed about 800 people around the world a decade ago, but Chan thanked authorities for their close collaboration with the WHO over H7N9.