Walker, a senior, suffered a fractured spine when he collided with teammate Julius Warmsley, a defensive lineman, helmet-to-helmet while attempting to make a tackle. Walker was unable to move and was taken off the field in an ambulance and transported to a Tulsa hospital.
Walker was in stable condition and will need spinal surgery in the "the next day or two," said Tulane's team doctor, Buddy Savoie.
"He was stable when we transported him," Savoie said. "I do not think, based on the information we have, his life was ever in danger."
The injury happened on the final play of the first half.
Cody Green threw for 274 yards and two scores, including a 74-yarder to Thomas Roberson, as the Golden Hurricane (1-1) raced to a 35-3 halftime lead. Tulsa outgained Tulane (0-2) in rushing yards, 364-7.