A second round would be held on April 24-26 if required, he told a news conference in Cairo.
Ibrahim said the commission would accept applications from presidential hopefuls between January 20 and 29.
Egyptians living abroad are scheduled to cast their votes on March 16-18, and if a second round is held, they would vote again on April 19-21, he added.
The incumbent, Abdel Fattah al-Sisi, is widely expected to run for re-election and win in the first round.
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