The district has reported 370 cases in the early weeks of the school year, nearly half the total for all of last school year.
The policy would require central office staff to get vaccinated by the end of September.
The district is encouraging charter schools to consider mandates as well.
Orleans Parish public schools Superintendent Henderson Lewis Jr. is set to step down next summer.
One New Orleans campus had to close its middle school due to a COVID-related staffing shortage. St. Tammany Parish schools reports 54 student cases, 26 staff cases.
Advocates say the policy also aims to ensure access to school staff and students.
Students with ‘exceptional circumstances’ can opt out but will be required to undergo regular COVID-19 testing.
Friends of King proposes including Lawless in its school name.
The district and Dryades YMCA, which runs Singleton, are in ongoing court-ordered mediation.
Data on local infections will no longer automatically trigger temporary closures, officials said, because staying open for in-person school is the district’s priority.