Officials said Friday that as the country’s vaccination rollout picks up speed, most U.S. states are on track to open eligibility to all adults by May 1 or sooner.

LOS ANGELES, CALIFORNIA – MARCH 11: Syringes containing a dose of the new one-shot Johnson & Johnson COVID-19 vaccine are viewed at a vaccination event at Baldwin Hills Crenshaw Plaza in South Los Angeles on March 11, 2021 in Los Angeles, California. The event was hosted by California health officials and FEMA. The Johnson & Johnson vaccine is now the third coronavirus vaccine to receive emergency approval for use in the United States. (Photo by Mario Tama/Getty Images)