MPs will heed calls to remove Church of England bishops from the House of Lords and introduce a mandatory retirement age for their peers.

Conservative former minister Sir Gavin Williamson has proposed the amendment in a bid to pressure Labor to both deliver on its manifesto commitments and go further in the party’s efforts to reform the upper house.

The House of Lords (Hereditary Peers) Bill aims to deliver on Labour’s pledge to deliver “immediate modernisation” by removing the 92 seats reserved for birth peers.

Labour’s manifesto also stated that the retirement age for members of the House of Lords would be 80 at a later date.

The government has not yet set a timetable for further changes, including its long-term target for “an alternative second chamber that better represents regions and nations”.

Sir Gavin, MP for Stone, Great Wyrley and Penkridge, has proposed a number of amendments to be considered at the committee stage of Tuesday’s bill.

The new first clause will prevent Church of England bishops from becoming members of the Lords.

The new third clause will ensure that peers will no longer be eligible for membership in the Lords at the end of the session of parliament in which they reach the age of 80, and that no one will be appointed a peer for life after reaching that age.

The new fourth clause aims to introduce a minimum attendance requirement for peers to contribute once every eight sitting weeks, while the new fifth clause will result in consultation on proposals for an alternative second chamber.

Sir Gavin also tabled other changes, including the establishment of a commission to advise the Prime Minister on who to appoint as a non-party political peer.

Speaking during the second reading of the bill, Sir Gavin said it was “fundamentally wrong” that his children, who are Catholics, “have no representation whatsoever” in the Lords.

He said last month: “There is a huge opportunity here. There is an injustice, an injustice, that so many people of so many faiths and so many people of no faith see that there are 26 bishops (in the House of Lords).

“They don’t reflect the UK and they don’t reflect what this country looks like today, yet they are still there.

“Therefore, if the Government are not willing to propose an amendment, I will propose an amendment to remove these 26 bishops (from the House of Lords).”

Other MPs have also put forward proposals, with the SNP’s Pete Wishart (Perth and Kinross-shire), a long-standing critic of the House of Lords, proposing to abolish the upper house.

The bill is expected to be approved in the House of Commons on Tuesday after completing its committee stage and third reading.

It will then face further scrutiny in the Lords, where it could face stiffer resistance.