The defenseman was injured blocking a shot by Erik Johnson in the first period of a 3-2 overtime loss to the Colorado Avalanche on Saturday.
"It's a huge blow. Obviously that's on the ice, but off the ice he's a guy that does the right things and he's a real leader," coach Rick Tocchet said. "That's something we're going to miss; but like every coach says, it's an opportunity for other guys. I know that's a cliche, but it's really true, that we'll have to pull on the same rope. Our penalty kill is driven by [Hjalmarsson], and we've had one of the best penalty kills last year and we're doing well at it this year, so some other people are really going to have to step up.
"But he's the kind of guy, well, I talked to him last night, and he said he's already ready to get training. I told him to relax, he's got some time to get back."
Hjalmarsson has one point in four games this season, scoring his first goal in 94 games in a 4-1 win against the Vegas Golden Knights on Oct. 10. He played in all 82 games last season for the Coyotes and had 10 assists.
A three-time Stanley Cup winner with the Chicago Blackhawks (2010, 2013, 2015), Hjalmarsson, who was selected by Chicago in the fourth round (No. 108) of the 2005 NHL Draft, has 163 points (25 goals, 138 assists) in 757 NHL games.
Arizona (1-2-1), which plays at the Winnipeg Jets on Tuesday (8 p.m. ET; TSN3, FS-A, FS-A PLUS, NHL.TV), recalled defenseman Kyle Capobianco from Tucson of the American Hockey League.
