The police also identified the officer as Amber Guyger, a four-year veteran of the division assigned to the Southeast Patrol Division.
The decision comes one day after Ulysa police chief Ulysha Renee Hall said the police are planning a manslaughter of the official in a case they call "more questions than answers".
Thursday, Hall said, the officer who is white shot the black man after accidentally entering his apartment in the complex where she lived.
In a statement released on Saturday, the police department said the Texas Rangers had taken over the investigation to "eliminate the appearance of any possible prejudice" and "had decided to postpone an arrest warrant until they could follow up on the information from the interview Officer …
"On behalf of the Dallas Police Department, we continue to pray for the family of Mr. Jean and ask that the community remain patient while this investigation is being conducted," Hall said in a statement.
The filming took place on Thursday evening in the South Side Flats.
"A Dallas police officer returned to her apartment after her shift was over – she was still in uniform when she met Mr. Jean in the apartment," Hall said Thursday.
The police chief said it was not clear "what the interaction between her and the victim was, then she eventually fired her gun to beat the victim."
The official called 911 and the officials "responded in about four minutes," Hall said.
Neighbor belongs shot
Alyssa Kinsey, Jean's neighbor, told CNN that she had been home Thursday night when she heard a gunshot. She said she then heard what sounded like "walking" and a female voice called the police.
Kinsey said she could see from her terrace that the lights were on in the jeans apartment. She said she heard more footsteps outside her apartment, a woman's voice and a commotion.
The apartment doors of the complex are all the same, Kinsey said, but Jean had a bright red mat.
She said she met Jean when she moved to the South Side Flats in April.
"He was great, as a neighbor – calm, friendly, super cold," said Kinsey. "We never had parties, we talked about life, smiled and laughed, he had a huge smile."
Victim funeral Thursday
Hall said the police would not handle the case under the division's usual shooting protocol.
"At the beginning of this investigation, there were first signs that these were circumstances that played a role in shooting with an officer," Hall said. "As we continued this investigation, we realized that it was a very different and very unique situation."
"A blood sample was taken to test for drugs and alcohol, we are in the process of getting a warrant, and we also invited the Texas Rangers to conduct an independent investigation," she said with reference to the state law enforcement agency.
Jean joined PricewaterhouseCoopers as a Risk Assurance associate on LinkedIn. He earned a bachelor's degree from Harding University in Arkansas.
"That's a terrible tragedy," said Jeans Employer. "We are just heartbroken to hear of his death."
Jean described himself on LinkedIn as a "young professional dedicated to developing a career based on integrity, dedication, and relationships, using technology beneficial to building value and delivering value in a range of industries. my community and society. "
Jean's funeral services are scheduled for Thursday at 11:00 am at the Dallas West Church of Christ, where Jean attended. Plans for the funeral were announced on Saturday at a prayer vigil.
The family has maintained the services of civil rights advocate Ben Crump and Dallas lawyer Lee Merritt.
CNN's Keith Allen and Joe Sterling contributed to this report.