More than 120 people have been diagnosed with the virus since it was first reported in late March, with most cases confined to eastern China.
The only one reported outside the mainland has been in Taiwan, although that victim was infected in China.
Experts fear the possibility of the virus mutating into a form easily transmissible between humans, with the potential to trigger a pandemic.
The World Health Organization has said so far there is no evidence of human-to-human transmission but warned H7N9 was "one of the most lethal" influenza viruses ever seen.
Chinese health officials have acknowledged so-called "family clusters", where members of a single family have become infected, but have not established any confirmed instances of human-to-human transmission.
Most of the cases reported have not yet resulted in death, and some patients been discharged from hospital after apparently recovering.