Tasmania has recorded 1583 new COVID-19 cases, the island state's second-highest daily figure since reopening borders one month ago.

Eight people are being treated in hospital, an increase of one from Tuesday's figure. None are in intensive case.

Another 14 people are in hospital for unrelated medical conditions.

The new cases, made up of 847 self-reported positive rapid antigen tests and 736 PCR tests, takes the number of active infections to 8764.

Tasmania was free of the virus when it reopened on December 15 to mainland hotspots.

Thirty-six cases are staying at community management facilities, while 271 people are utilising the COVID-at-home care method.

The state health department says 731 people have been released from isolation in the past 24 hours.

State Health Commander and Health Department Secretary Kathrine Morgan-Wicks on Tuesday tested positive. She is asymptomatic and isolating at home.