A source told ESPN that David underwent arthroscopic surgery on the injury Sunday. The team doesn't believe the injury will affect him during the regular season.
"We're gonna hold him out for a while. Nothing serious," Arians said. "He'll be ready to go soon."
David had missed three days of practice. Deone Bucannon, who previously played in Todd Bowles' defense in Arizona, has been getting the majority of first-team reps in David's absence next to rookie Devin White.
"He's a tremendous leader, a tremendous player," Bucannon said of David. "I've already learned so much from him and will continue to do so. I just want him to get back on the field as soon as possible."