The University of Melbourne will apply for an offer in 3-6 weeks. In general, the earlier you apply, the higher the efficiency and the faster the results will be. The fastest offer is to apply on Friday and get the offer next Monday, which is only two days.
Of course, there are also slow ones, such as two or three months. After six weeks, if the school has not responded, students can send an email to understand the progress and urge efficiency.