Coach Stephen Keshi has said Nigeria will now focus on their final Group C tie against Ethiopia on Tuesday after they drew with Zambia.
The Super Eagles could again not defend their lead as they allowed defending champions to fight back and cancel out Emmanuel Emenike's 57th minute opener on Friday.
Nigeria and Zambia have now recorded two points apiece in as many matches, while Ethiopia and Burkina Faso play the second game of the day.
"We wanted the three points today with due respect to Zambia, they are a great team and have been together for the past four years and also they are the defending champs," said Keshi.
"All the same, I'm happy with the result.
"We just have to get ahead and forge ahead against a very good Ethiopia team."
When both teams last clashed in Addis Ababa two years ago, the match ended in a 2-2 draw with Nigeria needing a last-gasp equaliser.
The Eagles vs Ethiopia clash will kick off at 6pm Nigerian time at Rustenburg.