Wes Streeting has suggested he is confident the government will now win a crunch vote on welfare cuts after Sir Keir Starmer made a number of concessions to prevent a damaging rebellion.

The health secretary told Sunday Morning With Trevor Phillips the alterations to the controversial welfare bill meant those in receipt of benefits now had “peace of mind”.

Asked whether he was confident the government would now win a vote on the reforms scheduled for Tuesday, Mr Streeting said: “Yes.

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“I think the changes that were made this week have put us in a much better position, not just on the vote on Tuesday, but on the substance of the package – because as a result of the changes, it means anyone watching this morning who’s in receipt of PIP, Personal Independence Payments, now has the peace of mind of knowing that their situation is protected.”

It comes after the prime minister carried out the most significant U-turn of his premiership at the end of the week in order to quell a growing rebellion over his welfare package.

More than 120 Labour MPs had signalled they were prepared to vote down the bill next week after they signed an amendment that would have stopped its progress through parliament – citing concerns about the impact on the most vulnerable and the lack of proper consultation with disabled groups.

The scale of the rebellion – and the fact it spanned all wings of the party – alarmed Downing Street and led to Sir Keir making a number of changes to diffuse the anger.

Originally, the bill set out to tighten the eligibility criteria for PIP – money that is given to people, some of whom are in work, who have extra care or mobility needs as a result of a disability.

People who claim it are awarded points depending on their ability to do certain activities, such as washing and preparing food, which influences how much they will receive.

Currently claimants need to score a minimum of eight points across a range of tasks to qualify for the daily living element (there is a mobility element that is not affected by the plans). Under the new rules people will need to score a minimum of four points in at least one activity to qualify.

However, the changes made by Sir Keir mean existing PIP claimants will now be exempted from the stricter new criteria.

Alterations to Universal Credit, another type of benefit, mean that the health top-up will only be cut and frozen for new applications, as opposed to existing ones.

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Mr Streeting declined to say whether he thought those who decide to vote against the bill should lose the party whip, which would force them to sit as an independent MP in the Commons.

He said it was “not my decision”, but added that there was an “expectation that Labour MPs vote for the whip”.

In a series of interviews over the weekend, the prime minister acknowledged there had been some mishandling of the welfare debate and said he was “heavily focused” on world affairs before he was forced to U-turn on his welfare bill.

In a piece in The Sunday Times, Sir Keir said he was occupied with the G7 and NATO summits and the escalating tensions in the Middle East for much of the past two weeks.

“Getting it right is more important than ploughing on with a package which doesn’t necessarily achieve the desired outcome,” he said, adding that all the decisions made were his and that “I take ownership of them”.