Bullock, a fifth-round draft pick out of Texas A&M, and was competing with veteran Shayne Graham for the kicking job. Bullock was 3 for 4 on field goals, and Graham has gone 5 for 5 in the preseason.
Kubiak said Sunday that Bullock was "black and blue" and barely could lift his right leg when he came in for treatment following Saturday's game in New Orleans. He will go on injured reserve.
The Texans wrap up the preseason against Minnesota on Thursday night.