The government's Northern Ireland Troubles Bill is expected to be discussed in the House of Commons on Tuesday.
The bill seeks to deal with the unresolved legacy of the decades-long violent conflict.
The bill was first introduced to Parliament last year following agreement on a joint framework with the Irish government.
On Monday it was announced that the Attorney General must provide consent for any serious prosecutions related to the Troubles under changes to the planned legislation.
It is among a series of amendments the government has tabled for the legislation.
A carry-over extension of the bill is happening on Tuesday and will be followed by a small debate.
The Labour government has faced criticism over delays in passing the bill as well as questions over some of its contents.
It seeks to replace the previous Conservative government's contentious 2023 Legacy Act, which introduced a ban on inquests and civil actions related to Troubles-era incidents.
The act's most controversial element - offering immunity from prosecution to suspects who cooperated with an information recovery body - was disapplied after being found by the courts to be unlawful.
Labour's bill involves a Legacy Commission to investigate Troubles-related killings, a separate information recovery body, and a dedicated legacy unit within An Garda Síochána (Irish police).
The Northern Ireland Veterans' Commissioner David Johnstone said it is "too early to say in detail" about whether he is pleased about the amendments.
"We are going to take our time, we need to take some legal input, we need to consult with veterans. We are not going to have a knee jerk reaction, I don't think anyone's going to be dancing in the streets over the amendments," he told BBC Radio Ulster's Good Morning Ulster programme.
"It does appear that the secretary of state and the Ministry of Defence have listened to some of the concerns and there does seem to be some amendments that are welcomed."
He added that the bill needs to be amendment so it is "fair and balanced" but he added that that is "unlikely".
On Monday Sinn Féin MP John Finucane denounced the amendments as a "veterans' charter".
He said they "risk preferential treatment, providing additional protections for former members of the British military while placing further obstacles in the path of effective investigations".
Johnstone said he was "not worried about the criticism of Sinn Féin" when it comes to the bill.
"While on the surface there does seem to be some improvements to protections, things like the Attorney General being involved to make a final decision on prosecutions, on the surface seems welcome but let's see the actual wording in terms of legal opinion because it is a minefield."
Johnstone said the role the Attorney General will play has had a "mixed reaction" as it is a political appointment and will not have veterans "excited".
However he said some veterans will see it as "positive" as decisions on prosecutions will involve officials in Westminster, rather than in Northern Ireland.
What are the amendments?
The legislation will make clear the Commission and coroners "must not regard the lawful conduct of members of the Armed Forces as equivalent to the actions of paramilitaries responsible for acts of terrorism"
The Attorney General will be required to consent to all "serious" Troubles-related prosecutions
Measures to prevent "cold-calling" of veterans and extending provisions for remote attendance as part of the Commission's work
Before any witness can be approached, the Commission should consider if "compelling new evidence exists, or the likelihood of a witness being able to provide new information"
The Commission must consider the "context and command orders" in which military veterans were operating
Former paramilitaries barred from being appointed to the Victims and Survivors Advisory Group, and a requirement for at least one veteran or veterans' representative to be on the panel
A statutory review of the measures for veterans to ensure they "deliver as intended"