NSW Premier Gladys Berejiklian says she is still intent on easing some restrictions despite the state recording five more locally acquired COVID-19 cases.

Key points:

• There were 12,868 people tested in the last 24 hours
• The Premier said health experts and economists were giving advice on when more restrictions should be eased
• A crew member on a ship that traveled from Brisbane has tested positive

The five new cases are all linked to known clusters.

Four of the new cases have been linked to a private health clinic cluster, with three being household contacts of a case reported yesterday and one a co-worker from another clinic of the same provider.

NSW Health said today's fifth new local infection was most likely an old case acquired in August and can be linked to the Liverpool Hospital cluster.

Five returned travelers in hotel quarantine also returned positive results.

There were 12,868 people tested across the state yesterday.