Carragher criticised the Blackburn forward in his autobiography, saying Diouf didn't care about winning or losing, and it seems Diouf is not one to let a grudge go easily.
The Senegal international is quoted in The Sun as saying: "If Liverpool had 10 players like Carragher, then they would never win anything.
"Carragher, for me, is nothing. He's like a make of ketchup or mustard to a normal person, not important. I played for Liverpool for two years and Carragher never spoke to me. That's life, some people are like that.
"We didn't have a team at Liverpool. We had the English somewhere and the French boys somewhere. If it's like that, you can do nothing together.
"Carragher is just a guy who loves to talk.
"But Carragher doesn't sell papers, Carragher doesn't sell shirts."
Blackburn are due to face Liverpool on January 5, although Carragher will play no part after being ruled out for a lengthy spell with a shoulder injury.
That didn't stop Diouf though. He continued: "When I played at Liverpool, Carragher could have talked to me then - but he didn't.
"He was jealous of me - that's why he talked about me. Because when I came to Liverpool I earned more than him and I was a bigger name than him.
"I took my country to the World Cup and to the finals of the African Nations Cup.
"So Carragher can't criticise me because, to me, he has done nothing with his life.
"I'm not going to listen to what Carragher says. I listen to the big men, the greats of football. Both said very good things about me."
The 'big men' to whom Diouf referred were Pele and Diego Maradona, who both named him in their top 100 players in the world.