Some lenders allow you to borrow money for LMI as part of your home loan, this is called 'capitalising LMI'. However this is normally only if your total borrowing amount does not exceed their loan-to-valuation ratio (LVR). i.e. The total amount you borrow to buy the property cannot be more than typically 95% of the property's market value.
Each lender has a different set of rules so it's really important to know which ones will allow this and what their rules and conditions are when you're choosing a loan.
An expert Aussie Broker will help you find out which loans allow you to do this. This is a free service as part of your free appointment with an expert Aussie Broker.