No new COVID cases in NSW community

Gladys Berejiklian has lamented the problems plaguing the rollout of the national COVID-19 vaccination program, saying it could jeopardise her ambitious timetable for NSW.

"I'm really keen to do this as quickly as possible," the NSW premier said on Thursday.

Almost 400,000 Australians have visited a website to check their eligibility for the AstraZeneca vaccine, but thousands were unable to access the site while GPs have been inundated with calls from anxious patients trying to book appointments.

"What is occurring now isn't surprising to me or the NSW government," Ms Berejiklian said.

"We put our views forward some time ago on what we think should happen ...we need to be able to step up ... and be involved in the process," she said.

NSW Health has already vaccinated almost 45,000 people.

"If we're serious about vaccinating six million NSW people by the end of October, we need to have everybody on board," Ms Berejiklian said.

"All the GPs, pharmacists, and also all of the hundreds of NSW Health hubs as well, otherwise we're not going to reach the target."

Meanwhile, NSW Health reported there had been no further cases of COVID-19 linked to the three infections from a Sydney quarantine hotel .

No local cases were diagnosed in the 14,049 tests undertaken in the 24 hours to 8pm on Wednesday, NSW Health said on Thursday.

Since the weekend there have been three genomically linked cases of local transmission associated with the Sofitel Wentworth Hotel, involving a security guard and two returned travellers.

Investigations are continuing into how the virus passed between the three people.

Close contacts of the security guard, including his household contacts, have all tested negative to date and will continue to self-isolate for 14 days.

Ongoing testing of staff at both quarantine hotels where the security guard worked has identified no additional cases. No other returned travellers on the same floor of the Sofitel Wentworth have tested positive date.