The move follows intense negotiations between a Hamas delegation and Egyptian authorities over what the Palestinian group called a humanitarian, rather than a political issue, Al Jazeera's correspondeint in Gaza, said.
Egypt, leading Arab rapprochement efforts with Israel, has neither shunned nor accepted the Hamas movement as a legitimate government in Gaza, after the Palestinian faction forced rival Fatah out of the strip in June.
Any softening of Cairo's policy towards Hamas would likely anger Mahmoud Abbas, the Palestinian president, and the United States, which is expected to convene Israeli and Arab leaders for a peace conference in November.
While Hamas continues to endorse Abbas as president, it has shown no willingness to either submit to Fatah or abandon the right to armed resistance against the Jewish state.
Abbas, with Israeli and Western backing, has sought to isolate Hamas in Gaza.
Hamas sources said that the Popular Resistance Committees, a Gaza-based armed group, took part in talks with Egypt on temporarily reopening Rafah.