Two Sutherland Shire clubs are telling people to stay away for up to two weeks if they have visited the Highfield Caringbah hotel or Cook at Kurnell cafe.
NSW Health revealed on Monday a person who later tested positive for coronavirus had lunch at the cafe on July 5 between 11.30am and 12.30pm and dinner at the hotel that night between 6pm and 9pm.
Other patrons present at those times were told to closely monitor themselves for symptoms and, if they occurred, have a test.
No cases of transmission to other patrons at the two venues were reported at the coronavirus update on Tuesday, provided by Premier Gladys Berejiklian and NSW Chief Health Officer Kerry Chant.
Club Central Menai and Hurstville, in a message to members, said, "Our main priority is and always will be the safety of our members, guests and staff".
"Currently we have had no cases of COVID-19. We are doing everything we can to keep you safe including temperature checks upon arrival, sanitising stations placed around the club and having additional staff members rostered every day to keep our hygiene standards as high as possible.
"We are also asking patrons to refrain from entering our venues if you have visited Crossroads Hotel or Planet Fitness Gym at Casula, Highfields (sic) at Caringbah, Cook at Kurnell, Canterbury Leagues Club or The Star in the last 10 days."
Cronulla RSL Club went further, advising members, "In accordance with NSW Pubic Health Advice, we are requesting members and guests who have been to the following locations not to visit the club for the next 14 days:
- The State of Victoria
- Highfield, Caringbah - 5 July
- COOK @ Kurnell - 5 July
- Crossroads Hotel, Casula - 3 to 10 July
- The Picton Hotel, Picton - 4, 9, 10 July
- The Star Casino, Sydney - 4 July
- Canterbury Leagues Club, Canterbury - 4 July
"Cronulla RSL takes our COVID restrictions seriously and we are working hard to ensure our club is kept safe for all Staff and Patrons."
NSW recorded 13 new COVID-19 cases in the 24 hours to 8pm on Monday.
They comprise two travellers who are in hotel quarantine, one a contact of a returned traveller and 10 linked to the Crossroads Hotel at Casula.
Dr Chant said, since 8pm on Monday, an additional seven cases had been reported - all linked to the Casula pub, while another case was under investigation.
Ms Berejiklian announced the number of people allowed in pubs and hotels would be limited to 300, group bookings would be capped at 10 people and all patrons would have to sign in.
It will be mandatory for venues to download and register the COVID-Safe Plan and larger venues will require a full-time safety marshall.
The new measures, agreed to by the NSW Australian Hotels Association, will come into force at 12.01am on Friday, July 17.
"Whether we like it or not, the reality is life is not normal and it will not be normal until we have a vaccine or a cure," Ms Berejiklian said.
"When you are easing restrictions, you are going to get extra cases and we have to live with that.
"There will be no way NSW will have zero cases. Our aim is to reduce those activities that have risk."