Hutton, 5-0-0 with a 1.39 goals-against average and .953 save percentage this season, can equal the three consecutive shutouts by Martin Biron from Jan. 18-24, 2003.
Hutton has not allowed a goal in 128:36, which is 2:15 shy of tying his NHL career longest streak of 130:51, set from Feb. 16 to March 3, 2017.
A win would also make him the third Buffalo goalie to win his first six starts in a season, after Biron (6-0-0) and Ryan Miller (8-0-0) each did so in 2006-07.
The Sharks, who open a five-game road trip against Eastern Conference opponents, can win for the fourth time in five games (3-1-0) after opening the season 0-4-0.