City-run initiatives are reaching more people of color, according to officials. But private vaccination sites may attract a whiter group.
The previous program, which expired in November, transitioned hundreds of people into long-term housing.
Shots are now available to people 16 or older with a wide range of preexisting conditions.
The reinstatement offer came after backlash from medical school students and alumni, as well as national media attention.
The city announced plans to scale back its testing efforts to focus on vaccinations. Its mass-vaccination plan was timed around the approval of a new vaccine from Johnson & Johnson.
The university denies claims of racial discrimination, but it announced a new diversity and inclusion initiative.
Edwards adds nearly 500,000 to vaccine eligible list. Meanwhile, freezing weather has delayed this week's shipments to Louisiana and throughout the country.
Dr. Princess Dennar sued the university, claiming racial discrimination, in October.
City Health department, EMS have already begun small-scale city-run distribution.
The news comes after a surge of cases at the university.