Fort Hood, Texas (CNN) -- Maj. Nidal Malik Hasan, the suspect in last week's mass shooting at the Fort Hood Army Post, is conscious and talking, according to a spokesman for the Army hospital where he is being treated.
Authorities have not identified a motive in Thursday's attack that left 13 dead and 42 others wounded.
Hasan, a 39-year-old licensed Army psychiatrist who worked at a hospital on the post, has been identified as the suspected shooter. He was shot several times after the attack. On Sunday, he was listed in critical but stable condition and in intensive care at Brooke Army Medical Center in San Antonio, Texas.
Hasan's ventilator was removed over the weekend, and he began talking afterward, hospital spokesman Dewey Mitchell said. He is speaking with hospital staff, but Mitchell was unable to say whether Hasan has been speaking with Army investigators.
The development comes a day after Army investigators asked troops and civilians for help gathering clues about the shooting, saying some who fled the gunfire might have evidence.
"The Fort Hood office of the U.S. Army Criminal Investigation Command is seeking any military or civilian personnel who may have left the scene ... with gunshot damage such as damaged privately owned vehicles, personal clothing, etc.," investigators said in a written statement. "CID is also seeking any military or civilian personnel who may have inadvertently left the scene of this incident with material that could be used as firearms residue-related evidence such as shell casings inside the boot, etc."
The statement said such objects would help Army investigators and the FBI "in their bullet trajectory analysis of the scene, to insure the comprehensiveness of the ongoing investigation."
Among the wounded in the shooting was Pvt. Joseph Foster, 21, who was hit in the hip as he sat at the base's military processing center, preparing paperwork for his January deployment to Afghanistan.
He said he "was sitting in about the second row back when the assailant stood up and yelled 'Allahu akbar' in Arabic and he opened fire," Foster said Monday on CNN's "American Morning."
Foster, 21, said he wasn't clear about whether the gunman said those exact words, noting that "with that much adrenaline, you tend to forget things."
Army officials have voiced concern about jumping to any conclusions about the gunman's motive, warning about a possible backlash against Muslim soldiers. Other bystanders have reported that Hasan shouted the phrase, which is Arabic for "God is great" and has been used by terrorists as a battle cry.
As of Monday, 15 gunshot victims remained hospitalized, including eight patients in intensive care, Fort Hood commander Lt. Gen. Robert Cone said.
The Army leadership at Fort Hood will "take a very hard look at ourselves and look at anything that might have been done to have prevented this," he said at a news conference.
"Hasan was a soldier, and we have other soldiers ... that might have some of the same stress and indicators that he has," Cone said. "We have to look across our entire formation, not just in a medical community, but really look hard to our right and left. That's the responsibility for everybody, from the top to the bottom, to make sure we're taking care of our own."
Cone said Monday that he has instructed commanders at Fort Hood to "immediately take a hard look and make sure if there's anybody out there struggling [that] we're going to address their issues."
Authorities have not identified a motive in the attack at the processing center, where soldiers report before they head to war.
Efforts to assist those affected by the incident, including family members of soldiers at the post, were ongoing, spokesman Col. John Rossi said. Fort Hood was awaiting the arrival of two specialists in child psychology and disaster management, he said. "This is not just for those directly affected by this tragedy," Rossi said, noting that effects from trauma sometimes are not immediately apparent.
However, he said, soldiers are trained to respond to violence by controlling and securing the scene.
"Their training kicks in, and that's what we saw," Rossi said. "The troubling part of it is it happened here in our own house."
Army Criminal Investigation Command spokesman Chris Grey said Saturday that all evidence indicates that the suspect acted alone and there was no indication of "friendly fire."
The processing center has been moved to another location so its work can continue while investigators work at the crime scene, Rossi said Sunday.
He told reporters he did not know Hasan's schedule on the day of the shooting, but "my understanding is that there was no purpose for him" to be in the processing center.
Rossi said he had visited with Fort Hood Police Sgt. Kimberly Munley -- the civilian officer who confronted and disabled Hasan in a shootout -- and with an injured soldier.
"Truthfully, it was an honor just to be in their presence," he said. But, he said, "I cannot tell you how many times they reiterated to me that this is not about them."
Munley has drawn national praise for her actions. Her husband has been brought in from Fort Bragg, North Carolina, to be with her, Rossi said. In a statement Saturday, Munley's family said she had undergone a second surgery and was in good condition.
The suspect's brother, Eyad Hasan, released a statement Saturday saying the family was in a "state of shock and disbelief over this dreadful news."
He wrote, "I've known my brother Nidal to be a peaceful, loving and compassionate person who has shown great interest in the medical field and in helping others. He has never committed an act of violence and was always known to be a good, law-abiding citizen."
Eyad Hasan said the family has faith in the legal system.
An earlier statement from another family member said Hasan, a U.S.-born citizen of Palestinian descent, had been telling his family that he wanted to get out of the military but had been unsuccessful in doing so.
Rossi said Saturday that Hasan had a late November deployment date to Afghanistan. It was to have been his first overseas deployment.
President Obama will speak at Tuesday's memorial service for the shooting victims at Fort Hood, and will meet with victims' families, his spokesman said.
"The president will meet with families of those that lost a loved one last week, as well as speak to the larger memorial that will take place at the base," White House Press Secretary Robert Gibbs said in his daily briefing Monday.
First lady Michelle Obama will accompany the president on the trip, Gibbs said.