Needing a victory to keep their knockout-stage hopes alive after an earlier defeat to Malawi and a win over Zambia, the 10-time African champions delivered an emphatic performance at the Stade Larbi Zaouli.
Asisat Oshoala opened the scoring from the penalty spot in the 21st minute following a VAR review. Substitute Gift Monday doubled the lead deep into first-half stoppage time.
Egypt pulled one back just before the break when Nadine Ghazi converted a penalty, leaving the score 2-1 at half-time.
Nigeria restored their two-goal cushion shortly after the restart through Uchenna Kanu in the 57th minute. Christy Ucheibe made it 4-1 from the penalty spot in the 81st minute before Ghazi scored her second for Egypt three minutes later.
Captain Rasheedat Ajibade converted another penalty in the 91st minute, and Joy Omewa completed the scoring in stoppage time to make it 6-2.
Nigeria finished with 59 per cent possession and advanced to the last eight of the continental competition.