Israel agreed to allow 250 to 260 tons of aid to enter Gaza through the Kerem Shalom crossing on Thursday, Hamas-affiliate Al Resalah reported.
According to the report, 30 private vehicles and 21 cement trucks will pass through the crossing, which is controlled by the Israel Airports Authority.
Relief agencies need the cement trucks for "projects" in the Gaza Strip, according to the report.
Israel also allowed a "limited amount of cooking gas" to pass through the Kerem Shalom crossing.
According to the IDF Spokesperson's Office, Israel transferred "7,974 tons of goods and gas - including 190 tons of beverages," into Gaza on Wednesday also through Kerem Shalom.