updated 12/01/2010 AT 2:00 PM ET
•originally published 12/02/2010 AT 10:30 AM ET
Last December, Bryant Gumbel shocked a live television audience when he revealed he recently had surgery to remove a malignant tumor and part of his lung.
A year later, Gumbel, 62, tells PEOPLE his prognosis is excellent.
“I’m still doing well,” he said at the UNICEF Snowflake Ball Tuesday in New York City. “Doctors tell me I’m free and clear, so I hope for better times.”