Dr. Anthony Fauci said a booster shot specifically for the Omicron variant of COVID-19 may not be necessary for vaccinated people.

The White House chief medical advisor said that the existing shots could be enough to provide protection against the new variant.

“I’m not so sure that we’re going to have to get a variant-specific boost vaccine to get an adequate protection from Omicron,” Fauci told the health website STAT in an interview published Friday.