Mooncoin Residential Care Centre says the case was confirmed on Friday, the staff member, who had no symptoms, is now self-isolating.
Speaking to WLR, co-owner of the nursing home Kieran O'Reilly said it's the first positive case confirmed.
"This round of testing is our sixth round," he said. "unfortunately this time we returned one positive test from a staff member, all other tests came back 'not detected'. Straight away we were able to put preventative measures and extra monitoring processes in place to protect residents."
He said that people need to be aware that the virus has not gone away.
"We believe it's in everyone's best interests all over the country that everybody is made aware of what's occurring in relation to Covid in their communities so everyone can do what they're supposed to do to protest themselves."