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 emergency room at Enköping Hospital has now been temporarily closed and medical staff who came into contact with the patient are being looked after.
Test results were expected to be published on Friday evening. "At this stage it is just a suspicion, other illnesses are entirely possible", a statement from regional health authorities in Uppsala, about 70 kilometers north of Stockholm, said.
The infectious disease is not believed to be active in this area. Hospital authorities are concerned that the patient may have Ebola.
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Mikael Köhler, Head Doctor at Region Uppsala told UNT: "The patient came into the hospital this morning".
The highly contagious Ebola virus causes a violent hemorrhagic fever, accompanied by vomiting, diarrhea, internal and external bleeding.
Burundi, where the patient was visiting, borders the Democratic Republic of Congo which is now going through the second-deadliest and second-largest Ebola outbreak in history - with cases surpassing 600 on Wednesday.
The Ebola epidemic in West Africa ended two years ago after claiming the lives of as many as 11,300 people across Sierra Leone, Liberia and Guinea.