Kinnaird Manor, which is home to elderly people with dementia, cannot disclose how many people have died but say they are doing all they can to support residents and staff and keep them safe.
It is thought that four have died.
A spokesperson for HC-One, which owns the home on Brown Street, said: “Our thoughts and sympathies are with all families who have lost a loved one from coronavirus and we are doing our utmost to support them during this difficult time.
“Caring for our residents and supporting our colleagues is at the heart of what we do, and we are doing everything we can to make sure our residents and colleagues stay safe throughout these challenging times.
“We have a comprehensive coronavirus contingency plan in place, which was created by our Clinical Director and reflects the latest government guidance.
“We are working closely with our local health and care partners, and we have all the medical equipment, PPE, and supplies we need to protect residents and colleagues alike.
“Our Wellbeing Team is working hard to keep residents active and engaged throughout this period, and to support their connection with their loved ones through video and telephone calls.
“We are proud of our colleagues and how they have risen to the challenge of the coronavirus outbreak by showing huge dedication and commitment to our residents.
“We are providing round-the-clock support for all our teams, and we are also grateful to relatives for their ongoing support and understanding.”