Australian Greens Senators Penny Wright and Rachel Siewert are calling on Minister Burke to reject Bight Petroleum's application to conduct seismic testing off the west coast of the island.
"Seismic testing around Kangaroo Island has unacceptable environmental risks no matter what time of year," Senator Wright said.
"The Kangaroo Island Canyons and Pool is home to more than 20 species of whales and dolphins, including endangered Southern Right and Blue Whales which breed and feed in the area. When you factor in the migration of Southern Bluefin Tuna, there is simply no safe time for oil and gas exploration near Kangaroo Island.
"Minister Burke must recognise that Kangaroo Island's unique marine environment is too precious to lose and reject Bight Petroleum's application."
Australian Greens marine spokesperson, Senator Rachel Siewert, said marine protection should not be compromised by industries which damage biodiversity and sustainable fishing operations.
"While the Greens warmly welcomed the proclamation of Australia's marine reserve network, we're concerned about concessions made to oil and gas industry," Senator Siewert said
"Unfortunately industry is still able to operate in a number of highly sensitive areas, some of which are under immediate threat, one of those is Kangaroo Island.
"The Greens will continue to look for ways to address these threats and improve protections in order to protect our marine resources and biodiversity in coming years."
A decision from the Minister was due on November 12, but was delayed while further information was sought from Bight Petroleum.
Senator Wright will also move a motion on this issue later today. The full text can be found here.