Ms Morgan-Wicks says she is asymptomatic and will continue working in the role, as well as in her position as health department secretary.

She returned a positive result on Tuesday afternoon after being tested in the morning.

"I am asymptomatic but undertook a PCR test... following a member of my household developing mild symptoms and being confirmed as a positive case," she said.

Ms Morgan-Wicks said she was "currently well".

Members of her household are in quarantine as close contacts.

Tasmania recorded 1379 new COVID-19 cases on Tuesday, with the number of people being treated in hospital for virus symptoms dropping to seven.

The cases are made up of 1015 self-reported positive rapid antigen tests and 364 PCR tests, taking the state's number of active infections to 8356.

The health department says seven people are being treated in hospital specifically for COVID-19, down from 11 reported on Monday.

Another 11 people with the virus are in hospital for unrelated medical conditions.

Fifty positive cases are staying in community management clinics, while 278 are being monitored under the COVID-at-home system.

Tasmania's Child Health and Parenting Service is reducing client service delivery until February 4 to allow nursing staff to focus on broader health system requirements.

The state government has extended the public health emergency declaration for a further three months.

"The declaration, which has been in effect since 2020, enables appropriate management and response to the COVID-19 pandemic," Public Health Director Mark Veitch said.

Two inmates at Risdon Prison outside Hobart have reportedly tested positive.

Australian Associated Press