"With the exceptional support of my family, medical team and friends, I am very optimistic about the future and look forward to continuing my life, my work and adventures still to come," Brokaw said in a statement released Tuesday. "I remain the luckiest guy I know."
Brokaw asked to keep details about his condition private.
"I am very grateful for the interest in my condition but I also hope everyone understands I wish to keep this a private matter," he said.
Brokaw continues to report for NBC News and has been helping with the network's coverage of the Sochi Winter Olympics.