A proposed law change would mean landlords have to give at least three months notice if they want to kick tenants out.
People would also be able to see how much rent previous tenants paid, to stop drastic increases.
The bill has support from Fianna Fáil and Sinn Féin, according to Social Democrats TD Roisin Shortall.
"After three years, a family can be evicted with just 56 days notice, and that's just not fair", she said.
Deputy Shorthall went on to explain that "when you're settled with your family, your kids are in a local school... it's just impossible to find alternative accommodation in that time".
It comes amid claims from The Taoiseach that extra staff have been taken on by the Department of Housing to deal with the volume of requests about the government's latest mortgage scheme.
The Housing Minister announced yesterday that people who earn under €50,000 a year, but don't qualify for social housing, can apply for a low-interest rate loan.
Leo Varadkar says extra staff have been taken on in the 24 hours since.
"The number of calls being made about the Rebuilding Ireland loan have been huge. Extra staff have been taken on because of the number of people phoning and going on the website", he told the Dail.