Head coach Lindy Ruff stuck his hand outside his window to high-five some fans.
It is the first time the Sabres have advanced to the second round of the Stanley Cup playoffs since the 2006-07 season.
The Sabres will face the winner of the Tampa Bay Lightning and Montreal Canadiens series in the Eastern Conference Second Round. Game 7 of the Lightning and Canadiens series will be played at Benchmark International Arena on Sunday (6 p.m. ET; The Spot, HBO MAX, truTV, TNT, SN, TVAS, CBC).