The United Arab Emirates health ministry said the man who travelled from Liberia through Morocco had been "isolated for checks after he suffered diarrhoea," although his body temperature was normal.
All passengers on the same plane have undergone the necessary checks, the ministry said in a statement carried by the official WAM news agency.
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The airport of Dubai is one of the main hubs for travel between the West, Asia and Australasia.
Ebola is only transmitted by close contact with the bodily fluids of an infected person who is showing symptoms such as fever, diarrhoea or vomiting.
The worst Ebola outbreak on record has so far claimed 4,493 lives, out of 8,997 recorded cases since the start of the year, most of them in Liberia, Sierra Leone and Guinea.