The number of NFL players who are vaccinated is at 93.5 percent as of Friday, and league officials said they are optimistic that number will continue to rise.

About half of the players who were not vaccinated when they arrived at training camp have since received at least one shot, Dr. Allen Sills, the NFL’s chief medical officer, said Friday.

“We are continuing to see literally people on a daily basis beginning the vaccination process,” Sills said. “It actually has moved substantially since it started.”

NFL officials were curious if the numbers would change after rosters were reduced to the regular-season, 53-man limit, but they did not, said Jeff Miller, the NFL’s executive vice president overseeing player health and safety. Just under 93 percent of players were vaccinated as of Aug. 26, five days before roster cuts.