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.
NFL schedule with 17 regular-season games announced
Adam Schefter goes through the different matchups of the 17th game as well as the announcement that there will be three preseason games instead of four.