The Texans can win the AFC South, as soon as next Sunday. But more than anything, they're focused on getting better.

At 9-3, Houston's atop their division by three games. The Titans and Colts are both 6-6, while Jacksonville's 4-8. Tennessee and Jacksonville square off on Thursday night football Nashville, and a Titans loss would mean a Texans win next Sunday at NRG Stadium would seal the division title.

For a fifth AFC South title, the Texans need to win once more plus have Indianapolis and Tennessee each lose once more.

"That's what we want to do," safety Kareem Jackson said. "That's one of our goals as a team. We put ourselves in a great situation to win the division, so we gotta continue to keep going. We've got to continue to keep getting better."

Improvement, according to Jackson, his head coach Bill O'Brien, and the rest of the Texans, remains at the forefront of objectives. Talk of a division title in early December is a nice by-product of a nine-game win streak. O'Brien's been impressed by that steadiness from this squad.

"They come in whenever the first day of the week is, and they review the film, correct mistakes, build on the things we're doing well, and flip the page and start getting ready for the opponent that we have to play," O'Brien said. "I think that's the mindset, and that's what it has to be."

Safety Tyrann Mathieu, who finished with a team-best six tackles in Sunday's win over Cleveland, explained the team's mindset with regards to securing a division crown.

"That's the goal," Mathieu said. "But we've got a lot of games left. We've got a great challenge next week with Andrew Luck. They lost today, so he's going to be fired up to come in here."

The Texans beat Luck and company in overtime in Week 4, which was the first win in the nine-game string of success. But as O'Brien is quick to point out, things can change drastically in the span of seven days.

"You can't take the cheese," O'Brien said. "In this League, if you start taking the cheese on nine in a row, which is fantastic, you're going to be in a world of hurt. It's a very humbling League."

The Texans host the Colts on Sunday at NRG Stadium. Kickoff is at noon.