That included the 1982 and 1993 NCAA basketball championships under late coach Dean Smith as well as the 2005 and 2009 titles under Roy Williams.
On Wednesday night at the ACC Tournament in New York, No. 12 North Carolina warmed up for its game against Syracuse with white shirts that read "Woody" across the back.
Durham died early Wednesday at the age of 76.
A moment of silence was held before tipoff for the longtime legendary voice of the Tar Heels.
Wes Durham decided to stay in New York and work the rest of the ACC Tournament, which started Tuesday at the Barclays Center in Brooklyn.
"One, it's what he wanted me to do, to the point he told my mom that," Wes Durham said. "I'm doing it to honor him. Second part is, his love for this event was really, really strong. And I fell in love with the event because of his love for it and so this seemed right. And I knew when I left Monday morning that there was a possibility it could happen."
Wes Durham was courtside Wednesday night doing play-by-play on Notre Dame-Virginia Tech and North Carolina-Syracuse for Raycom Sports.
"Hopefully, I'll do a good job," Wes Durham said. "It's Carolina. That'll make it a little tougher, obviously."
He said he would work through Friday's semifinals and leave Saturday. He was not scheduled to call the championship game Saturday night.
Atlantic Coast Conference Commissioner John Swofford, the former athletic director at UNC, compared Durham's voice to "gospel to generations of Tar Heels who trusted his every word." Williams called it "a very sad day for everyone who loves the University of North Carolina"