"Even Sunday is unlikely," Predators coach Barry Trotz told ESPN.com on Thursday morning. "There is no timetable for his return at this point. We are not putting him at risk."
Weber was injured last Friday after taking a hard hit from Mark Fistric of the Dallas Stars. Trotz raised hopes when he said his star defenseman was feeling better and could return Friday at St. Louis, but that won't be the case.
Weber, one of the league's best young defensemen, is fourth in the NHL in ice time at 26 minutes, 10 seconds per game and currently has eight goals and 21 assists.
The Predators host Calgary on Sunday. With Wednesday's shootout win over Minnesota, they're seventh in the Western Conference with 41 points, but five teams behind them in the playoff race are within three points.
Pierre LeBrun covers the NHL for ESPN.com.