Usyk retained his WBA, WBO and IBF heavyweight titles after beating the Brit into submission on Saturday night.
The Ukrainian dropped Dubois twice before the fight was eventually stopped in round nine.
However, the main event was blighted by controversy.
Dubois sensationally floored his opponent with a contentious punch in the fifth round – which was immediately deemed an illegal blow by the referee.
The punch appeared to land on or just below the belt, but the referee sided with Usyk and the 36-year-old was given four minutes to recover before continuing.
Dubois was furious after the fight and claimed he was “cheated” out of a world title.
Fight promoter Warren agreed and confirmed the decision to appeal the outcome in a post-fight press conference.
He said: “The situation is that we will be lobbying the WBA to declare this as a no contest.
“The knockdown, which the referee said was below the belt, if anybody has looked back at it you would’ve seen that the punch actually landed on the waistband of his shorts.
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“That wasn’t a low blow anyway because it hit him on the shorts, but the criteria – as is explained at the rules meeting – the waist is the midpoint of your hips, so it’s much lower.
“That was a legitimate blow and it should’ve been stopped, he (Usyk) got three minutes 46 seconds of recovery time which was wrong.
“He got it wrong, the referee, and I still don’t understand that if it was a low blow, why he didn’t take any points off.
“That’s where we’re going with this.”
Many boxing fans were also left furious with the outcome of the fight, with some even claiming it was fixed.