Fehr repeated on Saturday his feeling that the sides aren't all that far apart.
"My comments from a couple of days ago stand on their own. I think we were very close," Fehr told reporters after addressing a Canadian Auto Workers council meeting.
The lockout has resulted in the cancellation of 422 regular-season games along with the New Year's Day Winter Classic and the All-Star game.
The NHL is in danger of losing its second full season in seven years. The lockout that forced the cancellation of the 2004-05 season marked the first time a North American professional sports league had a full campaign wiped out by a labor dispute. The agreement that was finally reached back then expired this September, leading to a lockout being imposed again on Sept. 16.