Cabinet secretary Mohammed Askoul says Ismail Haniyeh will meet President Mohammed Morsi and senior Egyptian security officials. Haniyeh wants Egypt to open its border with Gaza.
Hamas is an offshoot of Morsi's region-wide Muslim Brotherhood movement.
Gazans hoping the Brotherhood will grant them freedom of movement after five years of confinement may be disappointed. Morsi's powers are limited and he has more pressing issues at home to address.
Hamas' 2007 Gaza takeover prompted Egypt, like Israel, to seal Gaza's borders. Although the border has been cracked open, many travel restrictions remain and there is no above-board trade.