Bettman said the time is right for a change.
He said the reduction in the players’ share of HRR would be 11.5 percent next season, 8.5 percent in 2013-14 and 5.5 percent in 2014-15. He expects the players’ share to rise beginning in the fourth year, stating that the league believes it ‘‘would have caught up.
‘‘The fact of the matter is if the players have been getting 57 percent, we were getting 43 percent,’’ he said, ‘‘and we were paying all the expenses of running the game, running the league and running our clubs.
‘‘(If there’s) any sense that our initial offer didn’t have any sense of fairness to it, then you need to consider what is fair looking at both sides.’’
Bettman said the NHL still wants to make a deal on a ‘‘timely basis.’’
Talks are expected to resume Thursday afternoon, though there is a possibility they could be pushed to Friday.