Buffalo assigned five other players to Rochester on Tuesday in addition to Luukkonen: forwards Matej Pekar, Ryan MacInnis, and Sean Malone, and defenseman Oskari Laaksonen.
The moves leave the Sabres with 32 healthy players at camp. The team will whittle its roster to 23 players at most prior to opening night.
Here is a breakdown of who remains.
Forwards (18):Rasmus Asplund, Anders Bjork, Drake Caggiula, Dylan Cozens, Cody Eakin, Zemgus Girgensons, John Hayden, Vinnie Hinostroza, Axel Jonsson-Fjallby, Casey Mittelstadt, Brett Murray, Kyle Okposo, Victor Olofsson, JJ Peterka, Jack Quinn, Arttu Ruotsalainen, Jeff Skinner, and Tage Thompson.
Defensemen (11): Jacob Bryson, Will Butcher, Rasmus Dahlin, Brandon Davidson, Casey Fitzgerald, Robert Hagg, Henri Jokiharju, Colin Miller, Ethan Prow, Mark Pysyk, and Jimmy Schuldt.
Goaltenders (3): Craig Anderson, Aaron Dell, and Dustin Tokarski.
One standout name from that group is 19-year-old JJ Peterka, who has earned a fourth exhibition game after scoring his second goal of the preseason on Monday.
"He has a very good feel for how to impact situations and his skill level is good enough to do it on most occasions," Granato said. "Those are components of some pretty good maturity already. … The goal was very impressive last night but so were so many other components of his game. As a young guy, he's evolved his game pretty well for his age."