"We have also, in connection with the reported deaths, conveyed that it is possible that common and known side effects of the vaccines may have been a contributing factor to a serious course or fatal outcome".
Pfizer said it was working with the Norwegian regulator to investigate the deaths in the country, Bloomberg reported.
India, second to the United States in the number of coronavirus cases, aims to inoculate 300 million people by July in one of the world's biggest vaccination drives.
The secretary of the Health Department also said he was "not unduly concerned" about Australia's first COVID vaccine, after about 30 deaths in Norwegian nursing homes were linked to the Pfizer jab. More than 20 percent of Israel's 9 million citizens has so far received the first vaccine dose since the rollout began.
In a statement to Bloomberg media, Pfizer has said "the number of incidents so far is not alarming, and in line with expectations".
People of 16 years and older are advised to get the vaccine.
Besides those who died, nine had serious side effects - including allergic reactions, strong discomfort, and severe fever - while seven had less serious ones, including severe pain at the injection site, New York Post reported.
New Zealand's Minister for Covid-19 Response Chris Hipkins said he hadn't looked at the full detail of the deaths reported in Norway, which came overnight.
"The TGA is evaluating all of the scientific and clinical information provided by the vaccine's sponsor, Pfizer, as well as other available evidence.prior to making a regulatory decision", the TGA said in a statement. "Those who are very frail and at the very end of life can be vaccinated after an individual assessment", he added.
"Anyone in an aged care facility is usually very frail and also has multiple illnesses".
"The key right now is to investigate the causes of those deaths and continue monitoring for all side effects with the knowledge that it is still the case that serious side effects are exceedingly rare, especially when we consider the global rollout of the Pfizer vaccine".
The findings prompted the Scandinavian country to suggest that the Pfizer vaccine may be too risky for elderly vulnerable patients.
The Scandinavian country, which has inoculated more than 25,000 people since the vaccination drive began on December 27 a year ago, has confirmed the deaths to news agency Bloomberg.
CDC country director Eric Dzuiban provided clarity on who can and who should not get the vaccine.
A total of 72 players are now confined to their hotel rooms in Melbourne for 14 days, and barred from practising, after coming into contact with COVID-19 cases on flights to Australia.