A journalist for French news agency AFP said he had counted seven corpses.
The stampede came during a recruitment exercise by the immigration department. Tens of thousands had turned up to take the test, according to reports.
There is a high level of unemployment in Nigeria especially among young people. In 2011, it stood at 23.9%.
Survivor Rosemary Ogida told AFP that she could remember being picked up by three men.
“I cannot even imagine the number of people that stamped on me,” she said.
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