The patient has since been transferred to Uppsala University Hospital, about 30 miles away, and is in isolation in the hospital's infection clinic.
The authorities said the hospital in Enkoping where the patient was first admitted had its emergency room shut down and the staff who treated the patient were "cared for".
Test results were expected to be published on Friday evening. While Burundi is now not a risk area for the disease, neighboring Democratic Republic of the Congo has been grappling with an Ebola outbreak since last summer.More news: Reuben Foster's latest domestic violence charge dropped
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Mikael Köhler, Head Doctor at Region Uppsala told UNT: "The patient came into the hospital this morning". Hospital authorities are concerned that the patient may have Ebola.
It did not confirm the person definitely had the Ebola virus and said "other diseases are quite possible".
Symptoms of Ebola - including fever and stomach pain - may take three weeks to appear after contact with the deadly virus, which has killed hundreds of people in the Democratic Republic of Congo in recent months. The largest outbreak was one in 2013-2016 in West Africa, where more than 28,000 cases were confirmed.