Bednar also said after morning skate that Kadri will be out "weeks, not days."
Kadri left Sunday's 3-2 victory over the Minnesota Wild with an injury after an awkward fall backward during an offensive zone faceoff in the second period. He appeared to twist his left leg as he back-passed the puck after the faceoff, but he returned to the ice for the third period and played one shift before leaving for the locker room.
Kadri, 29, had an assist in the win, taking 14 shifts with 10:06 on the ice. He has been a key cog in the Avalanche's stellar season, with 19 goals and 36 points in his first season in Colorado. He trails only Nathan MacKinnon's 32 goals for most on the team.
The Avalanche are in second place in the Central Division and have won four in a row.
The Associated Press contributed to this report.