The feud between Jackson and Briggs ain't new -- last month, they got into a shoving match at a Triad Combat weigh-in (the two were captains of opposite teams) ... an event that pitted MMA fighters against professional boxers.
Jackson tells us that any clash he has with Briggs will be bigger than just pride and ego ... saying that he's gonna show the world that MMA fighters are the best.
"I'm coming to get that respect," Rampage said. "You boxers, y'all don't respect us. Better put some respect on my name."
We might not have to wait much longer to see the former champs lock horns ... 'cause Rampage also told us that we could see the highly anticipated bout sometime in the new year.
"It's going down. We trying to make it in early '22. Maybe March, April, after that, something like that."