The presenter reportedly rushed to Goodman's aid when a cough sweet became lodged in his throat.
A show insider told the Globe: "At first we thought he was having a heart attack. Len staggered in agony as he grabbed the back of a chair and had trouble standing as his breathing got worse and worse.
"Tom's a real hero. If he hadn't been there and reacted so fast, Len could have easily choked to death."
Bergeron is said to have performed the Hiemlich Manoeuvre on Goodman, who also judges the BBC's Strictly Come Dancing.