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Rarely ever do airline tickets get cheaper as your departure date approaches, especially if you need to fly on a certain date. Budget airlines typically offer low rates as a baseline price, and as these tickets sell, the remaining ones increase in cost. This is very typical in Europe and Australia. If you know when and where you're going, don't wait on an unknown sale. More often than not, your biggest savings come from booking far ahead when you can.
While many theories exist around booking specifically on a Tuesday to save money, the reality is there is no consistent truth to exactly which days are cheapest to fly. Most of the time it is cheaper to leave on a weekday, though this isn't always the case. Your best strategy is to get a quick visual of prices for a whole month to see what days are cheapest for your specific route. Here's how: