"I'm signed back with the Texans," said Matthews, whose two-year contract was set to expire March 1. "It was never my intention to leave. I want to be in Houston. I like what's going on. We're very close to where we want to be, and I'm glad to be part of it."
But Matthews has Houston ties, spending the first 14 years of his 19-year career with the Oilers, who relocated to Tennessee and became the Titans.
McNair told the Chronicle he is pleased to keep a coach of Matthews' pedigree as the Texans try to take the next step as an organization.
"We didn't want to lose Bruce. He's an important part of our team and our community," McNair said. "He's a member of the Hall of Fame, and he's one of the most popular players who played for the Oilers. He means a lot to our team. We're excited to get this deal done."