The team said Tuesday that Chubb will undergo arthroscopic surgery on his left ankle to remove a bone spur. The Broncos said his timetable for return will become "clearer" after the procedure.
"I'm going to push everything I can to get back to these games and hopefully it's sooner rather than later," Chubb told the team website. "My mindset is just going to be attack it 100% every day."
Chubb, who sustained the injury about three weeks ago, is expected to miss at least six to eight weeks of action.
He sat out for the Broncos' Week 1 win over the New York Giants. He played in their win last week over the Jacksonville Jaguars.
Chubb joined the Broncos as the No. 5 overall pick in the 2018 NFL Draft. The 6-foot-4, 275-pound outside linebacker totaled one tackle in the Broncos' Week 2 win.
He posted 12 sacks as a rookie and 7.5 sacks in 14 games last season.
The Broncos (2-0) host the New York Jets (0-2) at 4:05 p.m. EDT Sunday at Empower Field at Mile High in Denver. Rookie Jonathan Cooper is listed behind Chubb on the Broncos depth chart.