Mr. Chukwu said the new case is the fiance of one of the primary contacts of the index case, Patrick Sawyer.
Mr. Sawyer is the Liberian-American who brought the virus to Nigeria late July.
Mr. Chukwu said the primary contact had, however, made a fully recovery.
The new case brings the total number of Ebola cases in Nigeria to 19 with seven people dead from the disease while 10 others have recovered, the minister said.
