Measures to curb the spread of the virus kept many Yemenis at home, but some officials said more stringent enforcement was needed.
A government committee reported 37 new cases, raising the total number of infections across the country to 167, including 28 deaths.
The Houthis are using religious occasions to promote Iran's agenda, despite serious concerns about a COVID-19 outbreak in Yemen, officials say.
The kingdom, which has reported the highest number of coronavirus cases in the Gulf region, is scrambling to limit its spread.
With more than 50 confirmed infections in government-held areas, the Ministry of Human Rights has appealed for humanitarian assistance.
Under the terms of the agreement, MSF will assume the full management of the isolation centre for the duration of the current health crisis.
The Yemeni government has so far recorded 21 cases, with the Houthis reporting the first infection in Sanaa's administrative district.
The government has been working to establish quarantine centres as part of a plan to help up to 20,000 stranded Yemenis return home.
The UN agency has distributed ventilators and intensive care unit beds across Yemen to help the country battle the coronavirus pandemic.
A second spike in coronavirus cases is expected at the beginning of May after the government prematurely eased restrictions on movement, experts warn.