Holliday fumbled a punt and mishandled a kickoff return in the Texans' 38-20 loss to New Orleans on Saturday. Kubiak blamed Holliday's miscues on his injured thumb.
The 5-foot-5 Holliday was a sixth-round pick out of LSU. He is the reigning NCAA champion in the 100-meter dash and impressed scouts when he ran a 40-yard dash in 4.34 seconds at the combine.
Holliday is the second Texans' draft pick to sustain a season-ending injury during training camp. Running back Ben Tate, a second-round pick out of Auburn, broke his ankle in Houston's first preseason game.