However, McGoldrick said earlier in the day that there was "no indication" the coalition was actually lifting the blockade in line with its announcement.
Jamie McGoldrick said the north of the country had 20 days' stocks of diesel, which were crucial for pumping water and fighting a huge cholera outbreak, and 10 days' stocks of gasoline, with no prospect of resupply soon.
The United Nations on Tuesday dismissed a Saudi demand that tighter inspections be put in place at Yemen´s rebel-held Hodeida port before a devastating blockade is lifted.
Al-Mouallimi also accused the Houthis of diverting humanitarian aid "to fulfill their own requirements" and "to trade in the black market and achieve exorbitant profits at the expense of the Yemeni people".
Despite the Saudi announcement, a top leader of Yemen's Shiite rebels on Monday vowed retaliation against the oil-rich kingdom over its blockade of his war-torn country.More news: Lawsuit filed against Uber by female passengers alleging rape, sexual assaults
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An air raid by the Saudi-led military coalition fighting against the Houthi movement in Yemen shut down the airport in the capital Sanaa on Tuesday, further isolating the country where millions are on the brink of starvation, the state news agency SABA reported. The Saudi closure had drawn worldwide condemnation and fears of a worsening humanitarian disaster in Yemen.
The coalition seeks to reinstate internationally-recognized Yemeni government of exiled President Abd-Rabbu Mansour Hadi, who was forced by Houthi rebels into exile in neighboring Saudi Arabia.
The Islamic State group meanwhile struck a fresh blow to Saudi-allied forces in the country's south, where a suicide auto bombing early on Tuesday targeted security forces in the port city of Aden, killing at least six people and wounding scores. Nine days ago, the Houthis launched a missile at the Saudi capital, Riyadh.
For its part, Iran long has denied supplying any arms to Yemen, though it has backed the Houthis and highlighted the high civilian casualties from the Saudi-led coalition's campaign of airstrikes. The Houthis have denied that.