Houston also waived veteran receiver Derrick Mason.
The Texans (10-3) signed the 37-year-old Mason in mid-October, after Andre Johnson went down with a right hamstring injury. Mason caught six passes for 55 yards in seven games. Johnson sat out Sunday's win in Cincinnati with a strained left hamstring, but Kubiak is hoping Johnson will return for Sunday's game against Carolina (4-9).
The 6-foot-5, 300-pound Brisiel started all 13 games at right guard for the Texans. Antoine Caldwell will start Sunday's game.