Miller, who struggled early in the season, stopped all 40 shots he saw against the Sharks Thursday after making 43 saves in a 2-0 win over Anaheim Wednesday.
He has five shutouts for the season, equaling the number he has had in each of the last three campaigns. It was the 26th shutout of his nine-year career.
The Sharks missed a chance to move back into a tie with Phoenix for the lead in the Pacific Division. The Sabres are 2-1 on a five-game road trip that has stops remaining in Vancouver and Winnipeg.
Notable deaths of 2014 [PHOTOS]
Michael Sam cut from the Dallas Cowboys