But members of his own party, including several state premiers, have called for more to be done for refugees.
Assistant Treasurer Josh Frydenberg on Monday called for temporary housing of Syrian and Iraqi asylum seekers.
Mr Frydenberg said there was a good case for a Kosovo-type solution that would see Syrian and Iraqi refugees housed in Australia, then returned home once the countries were safe.
The Federal Opposition on Monday called for 10,000 additional places for refugees from the Middle East, with priority to be given to those from conflicts in Syria and Iraq.
Opposition Labor leader Bill Shorten also said the government should spend an extra $A100m ($69m; £45.6m) on aid for refugees.
The Liberal Premier of Australia`s most populous state, New South Wales, Mike Baird, on Saturday challenged Mr Abbott to do more than just stopping refugees making their way to Australia by boat.
Reacting to a photo of a Syrian child refugee recently found drowned on a Turkish beach, Mr Baird said he felt "sick with overwhelming sorrow" about the situation.
Mr Baird, a close colleague of Mr Abbott`s, said it was a great thing that Australia was no longer seeing children drowning at sea after trying to get to Australia by boat with their families.
"But stopping the boats can`t be where this ends ... I believe we should do even more. And we should do it now," he said, adding that he would talk to the Federal government about what could be done.
Australia detains any migrants trying to reach its shores by boat, and takes them to offshore processing centres to be resettled elsewhere.
Last week, the New York Times described the policy as "brutal".
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