The Palestinians, including the de facto Hamas rulers of the enclave, would be willing to accept such a deal if Israel does, the official told AFP.
The proposal would defer to a later date negotiations on disputed points that have prevented a long-term ceasefire deal, he added.
An Egyptian official confirmed that mediators have contacted the Palestinians and Israel with a new proposal.
"There is an idea for a temporary ceasefire that opens the crossings, allows aid and reconstruction material, and the disputed points will be discussed in a month," the Palestinian official said.
A previous ceasefire to end the devastating conflict in Gaza collapsed on August 19 after Egyptian mediators were unable to bridge the gaps between the two sides.
The conflict, now in its 49th day, has killed more than 2,100 Palestinians and 68 Israelis, mostly soldiers.
Hamas has insisted that any long-term truce must end the eight-year blockade of Gaza and allow for an airport in the coastal strip that is flanked by Israel and Egypt.
