Leinart will be placed on season-ending injured reserve after fracturing his left collarbone during the second quarter of Houston's 20-13 win at Jacksonville on Sunday.
Kubiak said Monday that Leinart will have surgery within the next week, and Schaub is due to have surgery Wednesday to repair a Lisfranc injury.
Kubiak also said the Texans will try out other quarterbacks this week and hinted that 42-year-old Favre, who retired in January after 20 NFL seasons, could be considered.
"I don't think you rule out anybody," Kubiak said when specifically asked about Favre. "There are a lot of names being mentioned. We've got to continue to work through the process.
Lombardi: Yates better than Leinart
"I'm not going to rule out anybody, nor confirm anybody."
Copyright 2011 by The Associated Press