The team changed Zion and Herbert's statuses to out late Tuesday morning, meaning that they will not be available for Tuesday's game.
After the shootaround finished, the two players were both listed as questionable for the game against the Dallas Mavericks, but were later upgraded to questionable.
Brandon Ingram was ruled out of the game against the Utah Jazz after colliding with teammate Naji Marshall.
On the upcoming three-game West Coast road trip, the team is optimistic that Williamson and Jones will return.
In the game against the Jazz, Zion took a nasty fall when his dunk attempt was blocked by a Jazz player. The man fell on his back at the end of the fourth quarter. After staying in the game for a single possession, Williamson decided to call it quits.
In three games this season, he has averaged 22 points and 6.7 boards.
In New Orleans' first two games, he put up 28.0 points per game and was on his way to another big game when he was forced to leave the Utah game due to injury.