Bryson notched an assist, two blocked shots and a minus-2 rating in Thursday's 4-3 overtime win over the Blues.
Bryson notched an assist and three blocked shots in Saturday's 3-2 shootout win over the Flames.
Bryson hasn't played in any of the Sabres' first 11 games of the season.
Bryson signed a one-year, $900,000 contract with Buffalo on Monday.
Bryson will not receive a qualifying offer from the Sabres and will become an unrestricted free agent Monday, per PuckPedia.
Bryson (upper body) is expected to play Tuesday against Dallas, according to Lance Lysowski of The Buffalo News.
Bryson (upper body) won't return to Sunday's game against Detroit.
Bryson recorded a pair of assists in Wednesday's 6-2 loss to the Senators.
Bryson provided an assist in Friday's 2-1 win over the Blue Jackets.
Bryson picked up two assists while adding two blocked shots, two PIM and a plus-4 rating in Tuesday's 7-0 win over the Kings.