An expanded regular season has been a goal of NFL team owners for years, but Tuesday's vote, which approved a 17th game, wasn't unanimous among owners.
Bears chairman George H. McCaskey voted against the measure, according to four sources who were on the videoconference.
Through a team spokesman, McCaskey declined comment to ESPN.
Tuesday's vote was long-awaited and was hailed as a "monumental moment in NFL history" by commissioner Roger Goodell. But it has also been a source of tension with many players, including Alvin Kamara of the New Orleans Saints, who earlier this week tweeted that it was "S--- dumb ... as hell."
The NFL Players Association voted in favor of a new collective bargaining agreement in March 2020.