Bergdahl is working daily with health professionals to regain a sense of normalcy and move forward with his life, officials added.
Bergdahl's family has not joined him since he arrived at Brooke Army Medical Centre at Fort Sam Houston in Texas yesterday, and Army officials would not say when relatives might show up.
In a statement read at a news conference yesterday, Bergdahl's parents said they "are overjoyed that their son has returned to the United States" but asked for privacy.
"He appeared just like any sergeant would when they see a two-star general, a little bit nervous. But he looked good and saluted and had good deportment," DiSalvo said at the news conference, adding that Bergdahl was in stable condition.
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Officials said there is no timeline for the final step in Bergdahl's reintegration process.
"We will proceed at his pace," said Col. Bradley Poppen, an Army psychologist.
As far as Bergdahl's interaction with relatives, Poppen said a soldier typically determines when to reunite with his or her family. Poppen declined to release further details, citing the family's request for privacy.
Military officials declined to give details on what Bergdahl might remember about his capture or what he knows about the public uproar surrounding his capture and release.
In the short time he has been back on US soil, Bergdahl, who can walk on his own, has been on a bland diet and has shown a fondness for peanut butter, officials said.