Labour leadership hopeful Rebecca Long-Bailey has said she would not stand in the way of a new referendum on Scottish independence if she succeeded in becoming prime minister.

The shadow business secretary also revealed she would abolish the House of Lords as part of a radical package of constitutional measures if she was elected to succeed Jeremy Corbyn.

Speaking on Sky News' Sophy Ridge on Sunday programme, she said she would not stand in the way of a fresh referendum.

“I’m fully committed to the union and I don’t think that should be shaken in any way, but ultimately the people of Scotland need to make the case,” she said.

“They’ve got their own Parliament to determine whether they want to push that and that will be for me as a prime minister to review and to look at.

READ MORE: "Utterly humiliating" defeat for Richard Leonard as executive rejects IndyRef2 conference proposal

“I wouldn’t want to inhibit the democracy of people because that’s one of the most fundamental pillars that we’re proud of in this country.”

She also confirmed she would abolish the House of Lords, admitting that she does not think the current system is right.

“I do want to abolish the House of Lords and we’ll be rolling out as my campaign progresses how we intend to really shake up that constitutional package,” she explained.

“There would need to be checks and balances in place, but to have a set of completely unelected people doing that I don’t think is right.”

Ms Long-Bailey said she would work “very hard and very robustly” to tackle anti-Semitism in the party and she was unhappy at the way the issue had been dealt with.

“I wasn’t happy with the way our process was being run, I’ll be honest, I don’t think we were dealing with complaints quickly enough and I think that’s quite clear, I’ve been quite vocal about that,” she said.

READ MORE: SNP MP: New parliament has a chance to "right the wrong" of single child refugees

“I spoke to Jeremy about it, I spoke to the various members of the team, I spoke to various members of the NEC (national executive committee) about that.”

Asked if Mr Corbyn bore personal responsibility, she said: “He does and he’s apologised.

“I think any Labour politician that leads the Labour Party should apologise again for what has happened because it has been unacceptable.”