Speculation is running rampant that O'Brien will be out after this season's disappointing campaign. Houston fell to 4-10 when it was pummeled 45-7 by the Jacksonville Jaguars on Sunday.
"I will never quit as the head football coach of the Houston Texans. Ever," O'Brien said at his Monday press conference.
When pressed on the matter, O'Brien was just as forceful with his remark.
"I'll never resign as the head football coach of the Houston Texans," O'Brien said.
O'Brien, 48, has one season remaining on his contract and there have been no discussions regarding an extension.
There are also reports of friction between O'Brien and general manager Rick Smith. CBSSports.com even reported that a "split is imminent."
O'Brien said he hadn't read the story but was told about it. The article said that "many close to the situation believe change is on the horizon."
O'Brien's response: "I'm not a quitter. I was raised in a family that believes in family, faith, education. Never quit."
Houston's season collapsed after rookie quarterback Deshaun Watson suffered a season-ending knee injury. The Texans are just 1-6 since the devastating injury.
The Texans also lost star defensive J.J. Watt (leg) and linebacker Whitney Mercilus (pectoral) to season-ending injuries.
Tom Savage, who replaced Watson as the starting quarterback, is possibly done for the season due to a concussion suffered in Week 14.
O'Brien took heat for not immediately recognizing the seriousness of Savage's injury.
Houston is 31-31 during O'Brien's four seasons. The Texans went 9-7 in each of his first three seasons and made two playoff appearances. O'Brien has a 1-2 coaching mark in the postseason.