A second woman has died from an extremely rare form of blood clots that was likely linked to the AstraZeneca vaccine.

The 52-year-old New South Wales woman died some time in the past week, with the Therapeutic Goods Administration (TGA) saying she died from a clot in her brain.

"This case presented as a severe form of this syndrome," the TGA said.

"We extend our sincerest condolences to her family."

The TGA did not provide any more information about the woman, including whether she had any underlying medical conditions.

The Chief Medical Officer described the death as "extremely unfortunate" and said the woman received her vaccine a couple of weeks ago.

"I will point out it's only the second death, with over 3.6 million doses of this vaccine being given across Australia," Paul Kelly said.

"My heart certainly goes out to the family and all the friends and colleagues of this particular person."

The total number of people who have suffered the rare clotting disorder after receiving the vaccine is now 48, 31 of whom have been discharged from hospital and are recovering. 

Fifteen cases are currently in hospital receiving care, including one person who is in intensive care.

The TGA said there were four new cases of blood clots in the past week that were likely linked to the vaccine, and a further four that were classified as "probable".

Earlier this year, a 48-year-old woman died from blood clots likely to be linked to the vaccine.

Genene Norris, from the New South Wales Central Coast, was admitted to hospital four days after receiving the shot. 

Ms Norris, who had underlying health conditions, received her vaccination on the same day the Australian Technical Advisory Group on Immunisation (ATAGI) and the federal government announced the Pfizer vaccine would be the preferred jab for people under 50.