Will I be able to start the following Monday?

I was suppose to graduate from my CDL class next Wednesday, but was told today I wouldnt until Friday, at the latest, due to having to make up hours ( I joined the class after they had already been attending for a few days). I have been in talks with a recruiter from TMC, who had me send him a copy of my DD214 and proof that I have been in school this last year since I didnt have an employment. I was given a prehire, and when I told him about not graduating til possibly Friday, he told me jsut to give him a call when I know my testing date for sure. Will I still be able to start the following monday if I dont graduate til the Friday before?