Col. David Rubenstein said Lynch had a head wound and suffered fractures in both legs, her right ankle and foot and her right arm. She wasn't shot or stabbed, he said.
She had surgery on Thursday for an injury to her spine.
The military has not disclosed the cause of her injuries or said whether they occurred in captivity or when she was ambushed on March 23 with other members of the 507th Maintenance Company.
"Her emotional state is extremely good. She's jovial. She's talking with staff. She has a close friend with her," Rubenstein said.
"On our last report that we received, Jessie came through her first operation in flying colors," Gregory Lynch, the private's father, told CBS News Early Show co-anchor Hannah Storm. "She was in good spirits. And I think we got our girl back."
She's "a daughter any parent would be proud of," Rubenstein said, and has shown steady improvements. "The prognosis for her recovery is excellent," Rubenstein said.
The 19-year-old supply clerk, an Army private first class, has even ordered her favorite food, reports CBS News Correspondent Stephan Kaufman in Landstuhl: turkey, steamed carrots and apple sauce, although she's still being fed intravenously.
Lynch and the other soldiers were caught in an ambush when she and other members of her company made a wrong turn in Nasariyah. U.S. commandos rescued her Tuesday.
An Iraqi lawyer reportedly tipped U.S. forces to Lynch's location in a Nasariyah hospital.
The 32-year-old lawyer, identified only as Mohammed, told several newspaper reporters at the Marine headquarters in Iraq that he peered through a window at the hospital where his wife worked as a nurse and saw a sight that "cut" his heart: Lynch being slapped in the face by the black-clad Iraqi security agent.
"We owe him our life and Jessie's life for what he has done," her father said.
At the hospital in Germany, Rubenstein said Lynch had no television and was not able to follow coverage of the war, and her father said she may not be aware what a media sensation she is in the United States.
"We haven't talked too much on that," he said. "Only she asked if she made the local paper, and I said 'I think you're a lot better than that.'"