Weber, who turns 31 on Sunday, spent the first 11 seasons of his NHL career in Nashville and was captain of the Predators since the 2010-11 season. He will be introduced to the Montreal media when he participates in the Michel Therrien Golf Invitational at Le Mirage in Terrebonne on Tuesday.
Goalie Carey Price is looking forward to having Weber with the Canadiens.
"I've known him for a few years now, and he's a very strong character guy. He's going to bring a lot to our hockey team," Price told TSN on Sunday. "I'm definitely happy to have a guy like that in front of me. Like I said, he's a big presence on the ice and off the ice. He makes it difficult to play against every night, and I'm looking forward to seeing him in front of me, that's for sure."
Canadiens forward Brendan Gallagher believes Weber, who will play for Team Canada at the World Cup of Hockey 2016 beginning Sept. 17, will easily handle the transition from Nashville to Montreal.
"I don't think Shea Weber will have any problems adjusting [to Montreal]," Gallagher told the Vancouver Province on Saturday. "He's experienced enough. He's been in the League for a long enough time. He's played in big playoff games. He's played in gold-medal finals. I don't think there's any more pressure than putting on the Team Canada jersey for an Olympic gold-medal game. He understands how to deal with that. I think he'll be just fine."