The forward is expected to be ready to play at the start of the regular season. The Pelicans open the year Oct. 20 against the Philadelphia 76ers.
The 21-year-old appeared in 61 games last season after missing a large chunk of his rookie season following surgery for a torn meniscus. He ended the year on the sideline, however, after fracturing his left ring finger. Griffin chalked the injury up to wear and tear.
"I believe he probably suffered the injury over a period of time," Griffin told reporters in May. "It's a striking injury. It's a blunt-force injury. He was being beaten on the hand over and over and over again. For me to tell you one time, I don't think I can do that. I don't think he knows one time."
The 6'7", 284-pound Williamson has played 85 games through two NBA seasons and is now recovering from another issue heading into his third year.
The All-Star has still lived up to expectations on the court, averaging 27.0 points and 7.2 rebounds per game in 2020-21.
New Orleans will need Williamson healthy as it looks to return to the playoffs after three straight losing seasons.