Koroma yesterday said the new case, confirmed on Saturday, had been in contact with the woman who died on August 28 in the village of Sellu Kafta in Kambia district.
"The incident is a reminder that Ebola is still here so we must continue to adhere to the precautionary measures made by the health authorities," he urged.
"As a government we have (recently) extended the state of public health emergency to deal with such occurrences.
The latest death had brought to an abrupt end the optimism fuelled by the release of what had been Sierra Leone's last known Ebola patient from hospital in the central city of Makeni in late August.
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District health officials in Kambia told AFP the new Ebola patient was the "niece" of the woman who died in Sellu Kafta.
The village of almost 1,000 people was put under a three-week quarantine lockdown after officials announced on Tuesday that the woman, a food trader, had died after being sick for up to 10 days without the authorities' knowledge.
Health officials also said the experimental "Guinea ring vaccine" that has been administered by a World Health Organisation team in the village since Friday was "progressing very well".
The west African outbreak of Ebola has killed some 11,300 people since first emerging in December 2013 in Guinea, with Liberia the hardest hit.