However, Chester declined to specify what kind of breakthrough would convince officials to resume the search for the missing airliner that was suspended this week after almost three years.
"When we get some information or data or a breakthrough that leads us to a specific location, the experts will know it when they see it," he told reporters in the southern city of Melbourne.
Late last year, as ships with high-tech search equipment covered the last strips of the 120,000-square kilometer (46,000-square mile) search zone west of Australia, experts concluded they had been looking in the wrong place and should have been searching a smaller area immediately to the north.
But by then, USD 160 million had already been spent by Malaysia, Australia and China, who had previously agreed not to search elsewhere without pinpoint evidence of the plane's location. More than half of those aboard the plane were Chinese.
Chester defended the decision to call off the hunt without checking the new area to the north, saying, "No one is coming to me as minister and saying, We know where MH370 is".
He insisted the enormous cost had nothing to do with pulling the plug.
"It is a costly exercise, but it hasn't been the factor which led to the decision to suspend the search," Chester said.
The new 25,000-square kilometer (9,700-square mile) area to the north was determined with the help of drift modeling by Australia's Commonwealth Scientific and Industrial Research Organization, which attempted to calculate where debris that has washed ashore on coastlines in the western Indian Ocean originated.
Chester said that drift modeling would continue, and experts will scrutinize any further debris that washes up.
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