The UN and other advocacy groups have pressured the Saudi-led coalition to allow aid into Yemen through the Hodeida and Saleef seaports, which the coalition had said they would reopen.
"After more than two weeks of blockade of these ports, there are various kinds of supplies essential for fighting starvation, for fighting cholera and other types of humanitarian threats that millions of people are facing in Yemen today", Laerke said.
It did not specify when or if it would ease a blockade on commercial traffic.
The port of Salef is also expected to reopen, deputy United Nations spokesman Farhan Haq said in NY, citing information that United Nations humanitarian and political officials had received from their Saudi counterparts.
He says that "at a time of starvation and a time of cholera, it's very important" to keep all aid channels open.
Aid group Save the Children welcomed the coalition's announcement but warned that it was "nowhere near enough to avert a potential starvation in Yemen".
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The Houthi government on Tuesday announced the country's main global airport was fully functional again a week after a Saudi-led airstrike destroyed the facility's navigation system.
But no green light have been received for United Nations requests to bring humanitarian supply ships to Hodeidah and Salif ports, he said.
Houthis have been controlling much of Yemen's north by force, including the capital Sanaa since 2014.
The International Rescue Committee on Wednesday said the closure of Yemeni ports by the Saudi-led coalition as part of its fight against Houthi rebels creates "humanitarian misery for millions of Yemenis".
The country also faces a deadly cholera epidemic and millions stand at the brink of official starvation. More than 2,200 people have died.
The UN Food and Agriculture Organization (FAO) says Yemen is highly dependent on imported wheat for its basic needs.