The Canberra Liberals have pledged to support any bid to quash historic gay sex convictions in the ACT.
The ACT government said it was still investigating whether it would follow Victoria's plans to expunge criminal records of men convicted of having consensual sex with other men.
Premier Denis Napthine recently announced his government would introduce legislation this year that would make Victoria the first Australian state to exonerate those who have lived with convictions for offences such as buggery and gross indecency with a male person.
The changes follow the United Kingdom's decision to wipe an estimated 16,000 convictions from police records.
All private and consensual acts of buggery were decriminalised in the ACT in November 1976. But the criminal records for those convicted of these offences prior to 1976 would still remain.
ACT Opposition Leader Jeremy Hanson said the Canberra Liberals supported the concept of wiping those convictions.
''The jurisdictional responsibility of the ACT needs to be considered with respect to these matters but philosophically I agree with the steps being taken by Victoria,'' Mr Hanson said.
''They are steps in the right direction.''
ACT Attorney-General Simon Corbell said it was unknown how many people had been prosecuted in the territory.
''As these offences predate self-government and electronic record keeping, the ACT is not able to readily identify whether anyone is affected by the continuing unjust legacy of these historic offences,'' Mr Corbell said.
''Historic offences are a complex and sensitive area of the criminal law and any changes could only be made after careful consideration of all relevant issues.''
Mr Corbell said relevant issues included the specific offences eligible to be expunged and the process to abolish convictions.
Victoria's plans would allow anyone with a historical conviction for homosexual acts to apply to have their criminal record cleared.
The application would then be reviewed to ensure the offence was no longer a crime under existing laws.
Those with convictions for non-consensual sex or sex with a minor would not be eligible.
In comparison, the UK allowed a small class of offences to be erased.