People Before Profit wants to link a rents with a household's income.
The government says a proposed bill to cap rents would be unconstitutional.
The People Before Profit Bill would cap rents at a quarter of median monthly household income.
The party has called on all landlords on the Government benches to recuse themselves from the vote.
Junior Housing Minister and Longford-Westmeath Fine Gael TD Peter Burke says the government is opposing the bill:
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