A man who recently travelled to a "risk area" for the virus was taken to Karolinska University Hospital in Stockholm suffering from a fever and is being treated in an isolation unit, the reports said on Sunday.
More than 1,500 people have died in an Ebola outbreak in West Africa since March.
"The virus isn't airborne and can only be spread between people through direct contact with blood and other body fluids," daily Svenska Dagbladet wrote, quoting a statement by the Stockholm County Council.
Neither the council nor the hospital could immediately be reached for comment, Reuters reported.