County health executive Collins Matemba said samples had been obtained from the nurse for testing.
In Migori County, patients struggled to cope with costly treatment in private hospitals.
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A nurse at the Kakamega County General Hospital died on Tuesday, becoming the latest casualty of the ongoing nationwide strike by health workers agitating for better working conditions.
Mr Wycliffe Alumasa had been ill for a week but his condition worsened when he had difficulties breathing. He collapsed and died at his home in Shikangania village, Lurambi constituency.
His wife, Veronica Alumasa, is also sick. County health executive Collins Matemba said samples had been obtained from the nurse for testing.