The Abuja-based Indian private hospital Primus where they are working, meanwhile, appealed to them not to abandon their duties.
The Indian High Commission in Nigeria is also in touch with the four doctors and Primus hospital so that both sides could arrive at an amicable solution.
The doctors claim that their passports have been taken away and they are being threatened against leaving the country, a charge denied by the Primus hospital in the Nigerian capital Abuja.
The sources said there was no major issue as the hospital is also owned by Indians.
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They said the hospital is also correct when they say that there are no cases of Ebola in Abuja.
The MEA Spokesperson Syed Akbarudin said the Indian High Commissioner A R Ghanshyam had explained to him that the four doctors are not inclined to stay back in Nigeria and would like to return.
"We are waiting outside the High Commission premises for the past 34 hours," said Dr Dinesh, one of the doctors. "We want our passports back. I cannot live here," Dr Yogesh said in a voice choked with emotion.
The Primus hospital has issued an advisory to all its doctors working in Abuja to continue offering medical services "in the best interest of humanity".