Among the Patriots' key players listed as questionable with illness are star cornerback Stephon Gilmore, safety Patrick Chung, linebackers Jamie Collins, Kyle Van Noy and Dont'a Hightower, tight end Ryan Izzo and offensive tackle Isaiah Wynn.
Izzo and Van Noy did not participate in Friday's practice. Izzo was ruled out for Sunday night's game.
The Texans (7-4) and Patriots (10-1) match up at NRG Stadium as Houston attempts to maintain its lead in the AFC South.
New England is trying to keep the No. 1 seed in the AFC standings to ensure home field advantage throughout the playoffs.