Al-Araibi met with several politicians at Parliament House in Canberra on Thursday and celebrated his release from a Thai prison with a game of football.
The 25-year-old, who was originally wanted by Bahrain over the vandalising of a police station in 2012, thanked Morrison for his contribution to the extradition case that saw him arrested and imprisoned in Thailand for more than two months.
"We are so pleased you are here now and that you can come and live your life here in Australia," Morrison said.
"I don't think it's (citizenship) too far away."
Labor MP Andrew Giles, who represents the Victorian electorate in which Al-Araibi resides, said he would write to the government on the matter.
"I've got a letter to give to the immigration minister on your behalf," Giles told Al-Araibi in Canberra.
The former Bahrain citizen has lived in Australia for five years and was recently granted refugee status.
