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The 33-year-old American UFC star initially clashed with 'DC' at UFC 182 in 2015 and captured the light heavyweight championship.
And Jones would walk away with a second victory over Cormier at UFC 214 in 2017, only for the decision to be overturned to a 'no contest' after he tested positive for turinabol.
Speaking on Ariel Helwani's MMA Show in 2019, 'Bones' hit out at the idea that 'DC' would cut weight again to complete their trilogy of fights.
The UFC legend also added that Alexander Gustafsson is the toughest opponent he has crossed paths with inside the octagon.
"He ['DC'] won't do it," Jones said.
"He won't do it. I just think it takes a lot out of him to make that weight cut. I haven't seen him in person but I hear that he's bigger than ever.
"To lose all that weight and to come up short a third time, it just takes a lot of courage, I'd imagine.
"I don't think he has the balls to do it. I think he knows what to say to the people to appear not afraid of me, but I think deep down inside he knows what it's like to lose to me twice, going home, crying -- I just doubt he's going to do that to himself again.
"I don't know, I don't really care what Daniel Cormier does honestly. I've been done with him.
"Daniel Cormier is not my toughest opponent, I'd say Alexander Gustafsson was my toughest opponent.
"He's not this rival that the world wants him to be to me. He's a guy that I've beat twice."
Jones first defeated Gustafsson in 2013 at UFC 165 before claiming a second victory over him at UFC 232 in 2018.