The Texans (8-3) signed the 36-year-old Delhomme on Tuesday, after Matt Leinart broke his left collarbone in Sunday's 20-13 win at Jacksonville.
Leinart had his scheduled surgery moved from yesterday to Tuesday because he is ill.
Regular starter Matt Schaub, meanwhile, rejoined his team Friday after undergoing surgery Wednesday to repair a Lisfranc injury in his right foot. Kubiak says Schaub will watch Sunday's game from the press box with offensive coordinator Rick Dennison.
Yates, a fifth-round pick, will make his first NFL start. Kellen Clemens, signed after Schaub was hurt, will be No. 3 on the depth chart.