One male patient in Ward Nine of the Erne died after contracting the 'superbug' MRSA.
The Ward was closed to new admissions on Friday when the Western Area Trust revealed an increased number of patients on the Ward had contracted the infection.
Responding to the death, a spokesperson for the Trust explained: "Two patients with MRSA had been responding well to treatment for the infection but, sadly one of these patients died from underlying conditions.
"MRSA was not the primary cause of death," he explained. "And the death of the patient occurred before June 27."
He explained Ward Nine remains temporarily closed to the admission of new patients and that seven patients, (carrying MRSA, but not infected) remain in hospital. The situation is being kept under review.
On Friday, the Trust's Director of Primary Care and Older People's Services with the Western Trust, Alan Corry-Finn said: "Since 16 June, a total of 10 patients with MRSA in Ward Nine have been detected. Two patients were confirmed as having an MRSA infection (Bacteraemia) and eight patients were found to be carriers of MRSA but not infected."
The incident sparked alarm from the SDLP Fermanagh South Tyrone Assembly Member Tommy Gallagher who is a member of the Assembly Health Committee.
He stated: "News of the outbreak of MRSA at Erne Hospital in Enniskillen means that is a very anxious and worrying time for patients and their families."
Mr Gallagher went on: "This is yet another outbreak of MRSA at this hospital, and the public need to know that every possible precaution is being taken to get it under control once and for all," he urged.
"There are serious questions as to why this outbreak was detected on June 16 and, yet the Trust have only got round to disclosing this information more than a week later.
"This is not good enough and it will not instil confidence in the public that all possible measures are being taken to deal with this."
Responding to this allegation, the Trust spokesperson insisted: "Action has been taking place since June 16, including treating the patients identified at that stage in isolation or cohort bays.
"The decision to close the ward to further patients was made on June 25 by the outbreak team which has been meeting on an ongoing basis following receipt of results of screening which indicated some additional patients as carriers of MRSA but not infected."
The spokesperson stressed many people carry MRSA on their bodies without ever being affected by it. People who carry MRSA can become more susceptible to infection because their immunity levels are generally lower. Appropriate treatment is administered where a patient develops an MRSA infection.
Mr Corry-Finn continued: "The health and safety of patients, clients, visitors and staff is of paramount importance. Appropriate infection control measures are being taken by the Trust to deal with the situation, including the decision to temporarily close the ward to admission of new patients.
"The Trust has moved quickly to contain this situation. Screening for MRSA of patients and staff is continuing and the outcome of this will determine any further action necessary, including any decision in relation to when the ward could reopen to new admissions. In keeping with nationally agreed infection prevention and control measures, patients in Ward Nine are being treated in cohort bays or single rooms as appropriate," he added.
He said the Trust was now asking visitors to the hospital to cooperate fully with the infection control measures in place.
"They should thoroughly wash their hands before and after visiting. People should avoid visiting the hospital if they are feeling unwell, particularly if they have diarrhoea or vomiting, and they are asked not to bring small children to visit.
"Please ask staff if you are in any doubt about appropriate measures if visiting. We ask visitors to visit only one patient whilst at the hospital and not to move among patients. Visits will be limited to two people to a patient at any one time."