Comprehensive coronavirus testing will take place soon for staff and residents at the Windemere nursing home facility, hospital leaders said at their weekly press briefing Tuesday.

There have been no cases reported in the nursing home, but 100-plus staff members and residents of Windemere will be tested for the virus as part of a mass testing program through the state Department of Public Health, hospital president and chief executive officer Denise Schepici said.

Windemere has 46 residents and 64 staff.

At the weekly briefing Tuesday morning hospital leaders said cases of Covid-19 were holding steady on the Island, reporting no new positive tests for the coronavirus.

Ms. Schepici said the hospital had conducted 593 tests for the virus, with 23 positives, 562 negatives and eight pending.

Three additional Island residents have also tested positive for viral antibodies over the past week, bringing the total of Covid-positive patients on-Island to 26. The three patients are no longer symptomatic, according to Tisbury health agent Maura Valley.

No patients were hospitalized with the virus as of Tuesday morning.

The briefing was hosted by Ms. Schepici, as well as Windemere’s chief medical officer, Dr. Ellen McMahon, nurse Marie Zadeh and spokesman Katrina Delgadillo.

All spoke about the extra precautions being taken at Windemere, the a nursing and long-term care facility that shares the hospital campus.

They said beginning in March the building was closed to visitors, volunteer programs have been suspended, and a daily screening regimen went into in effect for residents and staff.

Dr. McMahon said Windemere recently requested permission from every resident and staff member to get tested, and then forwarded the requests to the DPH to test each individual in the building. Ms. Schepici said tests would take place “sometime soon” and would be conducted by the National Guard, along with local EMS departments.

“We are taking this step really just out of an abundance of caution for the residents,” Dr. McMahon said.

Responding to a question, Ms. Zadeh said the nursing home would isolate any residents who test positive and further segregate the facility. Most residents are currently living in shared rooms, she said.

And as antibody testing emerges as a new factor in Covid-19 case counts, Ms. Schepici expressed reservations about the testing, although she said the hospital was taking part in a clinical trial with its parent network Partners Health Care that conducts antibody testing for staff.

Ms. Shepici said fewer than 50 emergency room employees and EMS workers had been tested for antibodies at the hospital in conjunction with Partners. She declined to share the results of the testing, including whether anyone had tested positive, since it is a trial.

“We are part of a Partners clinical trial which is why we can’t really report the numbers,” Ms. Schepici said.

Speaking more broadly, Ms. Schepici said the science for antibody testing is new, and she expressed hesitancy about offering the testing at the hospital.

“That is not something we are considering at this time,” Ms. Schepici said. “Right now, the antibody question is in the research phase, and we are still trying to figure what it means in terms of immunity and prevalence.”

In honor of national hospital week, Ms. Schepici opened the briefing by saluting her staff at the hospital and at Windemere, commending their hard work and dedication during the pandemic.

“They are all precious to me, and I hope they are to our entire community,” she said.

The Massachusetts Department of Public Health reported 870 new coronavirus cases Tuesday, bringing the total to 79,332. The state also reported 33 new deaths, the lowest number in more than a month, although Governor Baker said in his daily briefing that could be due to technical difficulties. Statewide, 5,141 people have died from the virus.