Not much on the football field makes Bill Belichick sweat ... but airports? Those are clearly a different story.
Check out these images TMZ Sports has obtained of the legendary coach at Charlotte Douglas International in North Carolina on Wednesday ... he perspired right through his hoodie as he attempted to catch a plane to Las Vegas.

BELICHICK BREAKS A SWEAT TMZSports.com
Belichick was seen talking to gate attendants at 6:58 AM -- only 16 minutes prior to the flight's scheduled departure time.
We're told Belichick had just sprinted through the airport in an effort to make it to his seat -- and, apparently, he didn't even have time to throw on his socks prior to starting the mad dash.