According to Yoweri Museveni, president of Uganda, there is no need to impose restrictions in the central region's Ebola hotspots because the virus is not airborne.
Contact with an infected person, infected objects, or human waste can spread Ebola.
The country's association of medical professionals had previously demanded that the affected area be placed under quarantine in order to stop the spread of the hemorrhagic fever.
Since his government has dealt with similar outbreaks in the past, Mr. Museveni claimed that it is capable of controlling the epidemic. Uganda has experienced an Ebola outbreak four times.
He said that health experts who had previously dealt with Ebola outbreaks had been deployed to the affected region.
It is currently taking 24 hours for samples to be tested and laboratory results to be released.
The president said the government would set up a laboratory at Mubende district headquarters, the epicentre of the outbreak, to quicken the sample processing.
Six medical workers who treated the 24-year-old man who was later identified as the first case, have tested positive for Ebola.
A total of 24 people have been confirmed to be infected by the virus in the country, five of whom have died, since the outbreak was declared last week.