The Fun Lovin' Criminals frontman branded the Gorillaz star an "egomaniac".
"When any band gets a lot of success there is a crossroads you come to, and you can take it like a man, or turn into a prat like the dude from Blur, Damon Albarn," Morgan told the Daily Star.
"He's an a**hole. He is like an egomaniac. He said something to me one time and he didn't even know me. He almost got a slap."
The pair nearly came to blows in a London nightclub in 2000 after Morgan took offence when Albarn - who had only met him a handful of times - attempted to hug him.