"I'll be going back to work as soon as I'm ready," said Sullenberger, who along with First Officer Jeffrey Skiles safely guided US Airways Flight 1549 to an emergency landing in the Hudson River last month.
Sullenberger, Skiles and veteran flight attendants Sheila Dail, Doreen Welsh and Donna Dent spoke to CNN's Larry King on Tuesday. The captain and his crew have achieved national fame since their January 15 landing, in which all 155 passengers survived.
"My sleep has been disrupted ever since the incident ... It's distracting and it's hard sometimes to turn off my brain at night," Sullenberger said.
Sullenberger's crew members expressed similar experiences in the aftermath of the incident. All but Welsh, a 38-year veteran who was injured in the accident, said they felt certain they would return to work at some point.
Asked why she wasn't in uniform during the interview, Welsh replied, "I can't yet. I was the one that was injured, and I was the one in water, and it [the uniform] was ripped and bloody, and I just can't put it on yet."
Welsh said she's not scheduled to fly for "a while," adding, "I don't know what I'm going to do yet. I haven't -- I didn't get there yet."
Earlier this month, the National Transportation Safety Board said both the plane's engines contained the remains of birds, confirming the pilots' report that the engines shut down after colliding with birds less than 2 minutes after taking off.
The plane's flight data recorder "revealed no anomalies or malfunctions in either engine up to the point where the captain reported a bird strike, after which there was an uncommanded loss of thrust in both engines," the NTSB said.
Sullenberger told "Larry King Live" that bird strikes are not "terribly uncommon," though they typically have only minor impact on a plane.
"This was very different," Sullenberger said. "There were many large birds that struck all over the airplane, pelted us like hail and severely damaged both engines."
Sullenberger took over the controls from Skiles, who had been piloting the plane, and Skiles tried to restart the engines. Within minutes, Sullenberger decided to land the plane on the Hudson.
Was it a miracle?
"I wouldn't say that," Skiles said. "I would still say that it's just everybody did our jobs and we had good fortune, as well."
The crew praised the passengers remaining remarkably calm throughout the ordeal.
"It was incredible," said Dent, a flight attendant with 26 years of experience. "They did very well, a very educated group of travelers. I think that helped a lot. We had a lot of frequent fliers."