The Jets will be without the defenseman for two to four weeks after he sustained an upper-body injury on Wednesday.
"[Byfuglien] is at the top end of the league in terms of what he can do physically and what he can do with the puck," Maurice said. "We're going to miss him. He's a force back there, for sure."
The 29-year-old has spent the last four seasons of his 10-year career with the Jets. In 65 games this season, Byfuglien has 15 goals and 42 points. Over his career, during which he has spent time with Winnipeg, the Thrashers and the Chicago Blackhawks, Byfuglien has appeared in 593 games, scoring 130 goals and earning 211 assists.
The Jets are 32-21-12 with 76 points this season, and currently have the Western Conference's second wild-card spot. Winnipeg plays the Nashville Predators on Saturday at 7 p.m. ET.