Dr Craig Spencer recently returned home to New York after treating patients for the disease in the region with charity Medecins Sans Frontieres.
According to reports, he came down with a fever following his return from the Ebola-stricken country.
Despite reports claiming that Dr Spencer had been on public transport and in bars and restaurants since contracting the virus, authorities maintain that due to his early hospitalisation and quarantine, the threat to the public is very minimal.
New York Mayor Bill de Blasio said: "There is no reason for New Yorkers to be alarmed.
"Ebola is an extremely hard disease to contract. New Yorkers who have not been exposed to an infected person's bodily fluids are not at risk."
Dr Spencer is being treated at Bellevue hospital in New York City, where measures are in place to help protect health workers treating anyone who contracts the dangerous virus.
A spokesman for the hospital said: "They have been training for this event, as we have at all the major hospitals... the people taking care of him are highly trained and the most fit to be in that room with him."
A spokesman from Columbia University who worked with Dr Spencer said: “He is a committed and responsible physician who always puts his patients first. He has not been to work at our hospital and has not seen any patients at our hospital since his return from overseas.”
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