CORRECTION, 2 p.m. Dec. 3, 2018: An earlier version of this story said in the headline that a woman had been fatally shot. She was seriously injured, but not killed.

A man suspected of shooting a woman in the Rylie area of Dallas fatally shot himself Sunday after leading officers on a chase into Kaufman County, police said.

Dallas police were called to the 12300 block of Ravenview Road just before 2 a.m. about a shooting. When officers arrived, they learned a woman had been shot by a man she knew, police said.

The woman, who police did not identify, was taken to Baylor University Medical Center. She was in serious condition with multiple gunshot wounds, police said Sunday morning.

Officers at the house on Ravenview Road were told the man suspected of shooting the woman was inside, and SWAT was called to the scene. Eventually, they determined the man was no longer inside.

Kaufman County sheriff's deputies found the man on Highway 175 just after 4:30 a.m., and he led them on a chase until the deputies stopped his vehicle with spike strips, police said.

When deputies walked up to the man's vehicle, he was found dead of a self-inflicted gunshot wound. Police did not release the man's name, nor did they specify his relationship to the woman who was shot.