The rookie forward, playing in his 10th National Hockey League game, had to be helped off the ice after exchanging blows with McLaren 26 seconds into the game.
During the first intermission, team officials confirmed Dziurzynski was concussed and would not return.
He reportedly flew with the team for its game Friday at the New York Rangers.
Dziurzynski, 23, had two goals and 24 hits in nine games heading into Wednesday's match. He was promoted from the Binghamton Senators of the American Hockey League on Feb. 15.
Stay Connected
NHL.TV™
NHL GameCenter LIVE™ is now NHL.TV™.
Watch out-of-market games and replays with an all new redesigned media player, mobile and connected device apps.
Introducing the new official NHL App, available for iPhone, iPad and Android smartphones and tablets. A host of new features and improved functionality are available across all platforms, including a redesigned league-wide scoreboard, expanded news coverage, searchable video highlights, individual team experiences* and more. The new NHL App on your tablet also introduces new offerings such as 60fps video, Multitasking** and Picture-in-Picture.
*Available only for smartphones
** Available only for suported iPads