Bergdahl was handed over on May 31 in return for five senior Taliban detainees at the Guantanamo Bay prison for terror suspects.
The Pentagon said the soldier would continue the next phase of his reintegration process.
“There is no timeline for this process. Our focus remains on his health and well-being.” It said.
Bergdahl spent five years in the captivity of Afghan insurgents.
The exchange for the Taliban detainees held at the Guantanamo Bay prison resulted in an outcry led by opposition Republicans.
Critics of the exchange say U.S. President Barack Obama gave up too many high-ranking detainees in the swap and carried out the exchange without prior notification of Congress.
Chuck Hagel, U.S. Defence Secretary defended the handling of the prisoner exchange, telling Congress that the time frame for obtaining Bergdahl’s release was narrow and uncertain, forcing the decision to proceed before congressional notification could be given.
“We grew increasingly concerned that any delay or any leak could derail the deal and further endanger Sergeant Bergdahl,” he said.