MPs will debate and vote on the government’s new legacy legislation later on Tuesday.
The bill includes plans for a commission to investigate Troubles-related killings and a separate information recovery body.
The measures were agreed in a joint framework with the Irish government.
A separate package of protections for veterans is also being proposed by the UK government.
But some MPs say the measures do not go far enough and are planning to amend the government bill to include stronger protections in law.
Democratic Unionist Party (DUP) leader Gavin Robinson said his party’s amendments to the previous legacy act were voted down by the Conservatives who, he said, tabled the same amendments and “took credit for them”.
“I hope this Labour government will be more honourable,” he said.
Northern Ireland’s Secretary of State Hilary Benn, who will open the debate in the Commons on Tuesday afternoon, said he was confident the bill will pass.
But Tanaiste (Ireland’s deputy prime minister) Simon Harris has insisted the legislation must remain “true” to the framework agreed between both governments.
The proposed legislation, which will receive its second reading later, aims to replace the controversial Troubles legacy act passed under the last Conservative government.
MPs will debate the bill and then be asked to vote on the principal of the proposed legislation.
Given the government’s majority it is expected to pass but may be subject to some amendments at a later stage.
Introducing the bill last month, Benn said it will bring “fundamental reform” and must be given a “chance to succeed”.
