You should be able to easily get a loan for that amount.
Also, consider taking a bigger loan (to get a better interest rate - interest rates are often higher for smaller loans) and then putting all the extra in an offset account (thus reducing the capital immediately). This also has optimal tax benefits if the house becomes an investment property in the future.
+1
Figure out the value of the property and get the loan for 80% of the purchase price. This will maximise the discount lenders will give you.
Depending on your cash flow and your intent to turn the property into an investment, you can then move the funds you have sitting around into a 100% offset account or pay it off and retain the preferable interest rate.
Note the comment about cash flow as, although it will offset the interest charged your lender may still keep your repayments to the value of the full loan (meaning you pay more principle as a percentage of your repayment).
Note the comment about the intent to make this property as an investment property as paying off the principle has tax disadvantages and you should structure your loan and offset accordingly.