An agreement to send Australian uranium to Ukraine for "peaceful purposes", including electricity generation, has secured the tick of approval from a parliamentary committee.
However, the group of Liberal, Labor and Greens MPs has urged the government to develop a contingency plan for removing the nuclear material.
"The committee is concerned about the impact of recent instability in Ukraine and the risk that regulatory control of the material may be lost," committee chairman Stuart Robert said on Tuesday.
The committee also offered its conditional support for an extradition deal with China, which would allow people to stand trial in the country where the alleged crime was committed.
However, concerns were raised about the lack of transparency in the Chinese legal system, allegations of mistreatment and torture of prisoners, and the country's continuing use of the deal penalty.
"The committee is concerned that a more systematic approach needs to be taken to ensure the human rights and welfare of those extradited by Australia," Mr Robert said.
The Australian minister responsible for the extradition must take into account the state of China's criminal justice system and risk to the individual, the committee said.
China must also undertake to provide the prisoner a fair trial.
Australia should improve its collection and reports on whether an extradited citizen's trial has taken place, if the person has been found guilty and what sentence has been imposed.
So, too, must Australia be informed about whether a consular official was able to attend and the location and health of the person while in custody, it said.