It is better to sort things out with the DLI institution first, and never apply with such conditional offer. Because, Visa Officer will go by the conditions imposed in your offer, however, you'll need to proof in your application that you've or can satisfy the institution. It is going to create a complex work for the Visa Officer as they need to assess and when necessary verify your credentials. Why not just explain in details to the DLI that you can't get your university credential verified or re-apply to another DLI.