Doctors had the Arizona lawmaker moved to TIRR Memorial Hermann hospital Wednesday in the latest big step in the long road to recovery. She immediately began therapy that could last several months.
"I've seen improvement in practically all aspects - improvements in her movements, improvements in her ability to participate in our therapy program," Dr. Gerard Francisco, the lead doctor on Giffords' rehab team at TIRR Memorial Hermann told CBS' "The Early Show" Thursday.
Francisco agreed with others who have described Giffords' rapid recovery as "miraculous."
"I would, because in the almost 20 years that I've been in brain injury rehabilitation I have seen miracles in the recovery of my patients. They may be small miracles, they can be big miracles, and that's what I look forward to," he said.
Doctors said she will have a valve inserted into her breathing tube to help her talk.
When asked if the congresswoman was able to speak, neurosurgeon Dr. Dong Kim said, "We can say that her speech function, along with everything else, is improving" but declined to elaborate.
Giffords, 40, had been in intensive care since her arrival Friday from Tucson, where she was shot Jan. 8 while meeting with constituents. The gunman killed six people and injured 13 others in a rampage outside a supermarket.
Jared Loughner, the 22-year-old man accused in the shootings,last week to federal charges of trying to assassinate Giffords and two of her aides. He also faces other federal murder charges.
The Washington Post reported Wednesday that Loughner researched lethal injection, solitary confinement and political assassination on the Internet in the weeks leading to the attack, information that could show he knew the difference between right and wrong and may hurt his ability to use insanity as a defense, CBS News Correspondent Don Teague reports.
A source close to the investigation told newspaper that a review of his computers turned up the Internet searches.
Officials with the FBI and Justice Department contacted by The Associated Press declined to comment on the story or verify any part of it
On Friday,with doctors and her family originally expecting to move her straight to the rehab center, but a raised new health concerns and Giffords went instead to Memorial Hermann Texas Medical Center Hospital where she was kept in intensive care.
Kim said the catheter tube that had been placed in her head to drain excess cerebrospinal fluid was removed Monday after a scan showed there was no longer a dangerous buildup of fluid.
The three-term Democratic lawmaker's ability to swallow safely could mean she won't need a tube feeding her much longer, said Dr. Imoigele Aisiku, director of neurocritical care at Memorial Hermann.
Giffords began therapy just hours after she was transferred, under heavy guard, in an ambulance from the ICU of a Texas Medical Center hospital to the rehab center.
Speaking to the Early Show, Francisco described a three-pronged program of physical therapy, occupational therapy, and speech therapy
The physical therapy "will be upgraded in the next few days as she tolerates more and more physical activities," he said. Occupational therapy involves learning to carry out everyday tasks like brushing your teeth or getting dressed.
"It's a busy afternoon already and I anticipate it will be more so in the coming days," Francisco said at a news conference.
A breathing tube was placed in Giffords' neck after she was shot. Aisiku said while she can breathe independently and swallow safely, the tube cannot be immediately removed because of the length of time it has been in place.
Instead, doctors will lessen her dependence on it, a process that has already begun, until it can be safely removed.
Doctors had previously reported that Giffords was having difficulty moving the right side of her body. On Wednesday, they described that as "weakness" and said her ability to move had improved.
The transport from the intensive care unit earlier in the day was done under heavy police presence.
Helicopters buzzed overhead and police stopped traffic and blocked the road as an ambulance took Giffords and her husband, astronaut Mark Kelly, to the rehab facility. Television footage showed a gurney wheeled into the building.
It was the first time she had been outside intensive care since the shooting, said James Campbell, a TIRR spokesman.
Doctors said Giffords is doing her rehabilitation in her room and not in the hospital's large gym-like facilities where dozens of patients can undergo therapy simultaneously.
Giffords is interacting with the staff and her family and is awake "about as much as you or I are," Aisiku said.