It will be Parker's first fight since he lost his unification bout to Anthony Joshua in April.
Parker lost his WBO title in that fight but could face Joshua again in a rematch if he beats Whyte.
Whyte's only loss in his 24-fight career also came at the hands of Anthony Joshua in 2015.
Parker's manager David Higgins is hoping Parker will get to fight in Britain again.
"This is the epicentre of heavyweight boxing in the world. Obviously we came close against Anthony Joshua (but) didn't quite get the win," he said.
