Three sources said Houthis forces would pull out five kilometers from al-Salif, used for grain, and Ras Issa, used for oil, as a first step agreed upon with the internationally recognized government.
The withdrawal of the Houthis from the port of Hodeidah and the withdrawal of coalition-backed forces 7 kilometer from al-Sharqiyah suburb in the city will be a second step.
The United Nations is trying to salvage the truce agreement reached at peace talks in Stockholm, Sweden, in December between the Houthis and the Saudi-backed government of President Abed Rabbo Mansour Hadi. The operation has reached a dead end due to disagreement over who will take control of Hodeidah, a port on the Red Sea, where most of the food imports of the country come from.
The Houthis control Hodeidah while there are Yemeni forces supported by the coalition on the outskirts of the city.
Saudi Arabia and the United Arab Emirates are leading the Arab alliance that entered the war in Yemen in March 2015 to try to bring Hadi's government back to power after the Houthis forced them out of Sanaa in late 2014.