Joyce made public his desire to secure a high-profile name on the back of conquering the Commonwealth scene with victory over Lenroy Thomas as the 2012 Olympic Silver medallist pushes towards a world title shot.
WBN understands Miller has demanded over $3 million in order to trade punches with Joyce in New York this September as the American awaits news of a potential shot a unified king and Matchroom stablemate Anthony Joshua.
The fiery exchange between the pair began when Joyce called Miller out on May 22, with the talented Briton stating: “Yo Big Baby! Stop whining about the fights you can’t get and concentrate on the one you can.
“I will fight you on any notice. New York, London – you choose. Let’s give the fans a real fight this summer,” said Joyce.
Hayemaker Boxing then chipped in with: “Expect more excuses from @BIGBABYMILLER, Joe. He just doesn’t want the work!”
Eventually, Miller snapped back, replying with: Excuse, lol. Tell Haye stop with the Twitter fingers before I call @TonyBellew!
“@HayemakerBoxing Vs @bigbabypromotionss. ENGLISH MUFFINS VS BIGBABY.”
Joyce once again came back at Miller.
“You talk the talk – let’s see if you walk the walk. No whining. The Juggernaut is coming to the big (apple).”
Miller then pointed out what he says are three facts about Joyce.
1. You have No TV
2. No ranking
3. No Mula and you ugly sh**.
“You don’t want to fight, you want to whine. Talk the talk only. When you stop crying, let me know. Let’s give the fans a real fight,” added Joyce in response.
All-in-all, the pair seem to be at a deadlock, although Joyce’s intention to battle the likes of Miller is a signal of intent by ‘The Juggernaut’ that he’s not playing around with his belated pro run.
Phil Jay is Editor of World Boxing News. Follow on Twitter @PhilDJay