Osweiler replaced Tom Savage early in the second quarter Sunday in the loss to the Tennessee Titans after Savage left with a concussion. Savage is still in the NFL's concussion protocol and, if cleared, would be Osweiler's backup on Saturday.
Texans coach Bill O'Brien said Monday he wanted the quarterback who will start to get most of the reps in practice this week.
"I thought Brock did some really good things on Sunday with his teammates and almost brought us all the way back," O'Brien said. "So I thought he did a nice job, and we have a lot of confidence in him that he's going to go out there and play well on Saturday."
On Sunday, Osweiler was 21-of-40 for 253 yards and a touchdown. He did not throw an interception and also ran for a 1-yard touchdown late in the fourth quarter. Savage was 5-of-8 for 25 yards and a fumble before he was injured.
Osweiler started the first 14 games of the season for the Texans, but he was benched for Savage in Houston's Week 15 victory over the Jacksonville Jaguars after he threw two interceptions in the first half. Sunday's loss was just Savage's second career NFL start.
The Texans signed Osweiler to a four-year, $72 million contract during the offseason, but he has struggled this season with 15 touchdowns and 16 interceptions in 15 games.