Belichick said that he remembers his time in Cleveland fondly but that his current team need to be wary of the threats that they now pose.
"I definitely remember what some of my experiences were that year," he told the Patriots' official website. "But as it relates to the Browns right now, we really can't be too concerned about that.
"We have a job to do here. They're a good football team. They have a lot of good players and they work hard and they've improved a lot. I don't want to get caught up in all that."
Belichick has been Patriots coach since 2000.