Dunn, whose legacy as one of the most respected session musicians in the business also included work with John Belushi and Dan Aykroyd's Blues Brothers as well as with Levon Helm, Eric Clapton, Neil Young and Bob Dylan, died while on tour in Tokyo.
News of his death was posted on the Facebook site of his friend and fellow musician Steve Cropper, who was on the same tour. Cropper said Dunn died in his sleep.
Dunn was born in Memphis, Tenn., in 1941, and according to the biography on his official website, was nicknamed for the cartoon character by his father. His father, a candy maker, did not want him to be a musician.
“He thought I would become a drug addict and die. Most parents in those days thought music was a pastime, something you did as a hobby, not a profession,” Dunn said.
Dunn received a lifetime achievement Grammy in 2007. He is survived by his wife, June; a son, Jeff; and a grandchild, Michael, said Michael Leahy, Dunn's agent.