Mr Kubeba met with Foreign Minister Penny Wong on the sidelines of the United Nations General Assembly in New York.
Ukraine's ambassador to Australia Vasyl Myroshnychenko has requested further artillery support in the form of up to 12 howitzers and ammunition.
Mr Myroshnychenko is also hoping to acquire drones and other innovative technology to help in the fight.
'All those people in the occupied territories are suffering greatly. It's important for us to free them as soon as possible," he told Sky News.
"The Australian government will consider providing more assistance to Ukraine. I'm extremely thankful for that."
Senator Wong said she'd expressed Australia's solidarity with Ukraine and admiration for the courage and sacrifice Ukrainians had shown.
"There is always more we can do and the government will continue to look at ways we can support them," she told reporters in New York.
Her comments come as Russia paves the way for the formal annexation of seized Ukrainian territory after nearly seven months of war.
Russian-backed officials in several areas it partially controls have called for referendums on joining Russia, a move supported by Moscow.
Mr Myroshnychenko rubbished the move, saying it projected a sign of weakness from Russia.
"It's a sign of weakness that Russia is organising these fake referendums," he said.
"Now Ukraine will be liberating those regions Russia will declare full fledged war.
"I don't think it is going to go smoothly for (Russian President) Vladimir Putin."
Senator Wong says any position taken by Australia and the international community more broadly would be guided by Ukraine.
"Again, the solution to the Russian-Ukrainian conflict is for Russia to do the right thing and to withdraw," she said.
Australia has also sanctioned the Russian co-founder of a steel and mining company, Alexander Abramov.
The billionaire was initially listed as one of 67 Russian oligarchs sanctioned by Australia in April before he launched legal action against Senator Wong, arguing the sanctions damaged his reputation.
Senator Wong signed the instrument last week but it was listed on the legislation register on Wednesday morning.
with Reuters