Criticism has mounted regarding the pace at which Stormont is moving to replace the Legacy Act, a controversial piece of legislation introduced in the previous year.
The new measure aims to remove restrictions that currently prevent inquests and civil proceedings concerning incidents from the Troubles era.
John Finucane, representing North Belfast, addressed the media on Thursday shortly after engaging with Sir Chris Bryant, the Secretary of State for Northern Ireland.
Sir Bryant is conducting a series of consultations today with major political parties operating at Stormont to gauge support for the revised proposals.
Finucane indicated that the government intends to make these changes public within the coming weeks as part of ongoing efforts to modernise the legal framework surrounding past events.
The original legislation had sparked significant debate due to its impact on families seeking answers and accountability regarding historical violence.
Labour's draft bill seeks to restore mechanisms for public inquiry and judicial review in specific circumstances previously barred by statute.
While the final text remains under development, officials confirm that a formal announcement is scheduled for next month.
Sir Bryant continues to hold talks with party leaders throughout the day to ensure broad consensus before any legislative submission occurs.