Sinn Féin leader Mary Lou McDonald has said that more international protection centres should be located in better off areas under its new immigration policy.
The party is calling for a local audit of resources to be carried out before new locations are chosen.
This would examine criteria including GP lists and school places, proximity to transport and existing levels of disadvantage.
"Some areas have better access to services, to infrastructure, they are better off. It is our belief that it is a fairer ask that these centres be located in these communities," Ms McDonald said.
She added this would not delay the process of finding new sites but would instead make the system more efficient.
Ms McDonald also denied that the proposals would set the bar too high.
Sinn Féin announced a new policy document - 'A Fair System That Works' - on immigration following poor results in the local and European elections that were partly attributed to its position on migration.
The party has said a review of its weak performance concluded that it "did not have the backs" of some of its working-class base.
In the new policy document, Sinn Féin is also calling for greater consultation with communities but it says it would not allow locals to veto a location, according to Ms McDonald.
"We live in a democratic society and in so many processes, people have an opportunity to be consulted, to make observations, that never grant an individual citizen or community a veto and yet it seems uniquely in this set of circumstances, a Government that fails to consult and fails to listen, reaches automatically for a veto.
"We are not talking about a veto; we are talking about respectful conversations with community and that hasn't been happening," she said.
Asked whether the party believed the Government should proceed with the location of a new international protection centre in Coolock, Ms McDonald indicated it was too late to row back as contracts had been signed.
However, she indicated it should not have been located in such a community with high levels of deprivation.
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The Sinn Féin leader also called on the violence to stop.
"We want Coolock to be a safe, calm place where people are listened to," she said.
Minister Eamon Ryan of the Green Party said that Sinn Féin's new immigration policy which details that resources be looked at before accommodation for asylum seekers were housed in an area, was something that the Government was already doing.
He said that the focus in the Government’s new immigration strategy was to move away from reliance on the private market and hotels towards a permanent public response, and to make sure it was not unfairly impacting on one community or going in to a location where the resources were not there to be able to cope. He said that this was the case in Coolock.
Minister Ryan added that Ms McDonald’s comment saying there was no engagement or consultation around this in Coolock was not true.
He said that Sinn Féin’s policy was incorrect around treating Ukrainians coming here under the temporary protection directive as the same as IP applicants, and that was not possible under EU rules.
"I don’t know how they are going to implement what they say," he said.
Other than this he said he did not see much difference between the measures they had announced compared to what the Government is doing already.
Speaking on RTÉ's Drivetime, Sinn Féin's Pearse Doherty said his party wanted to treat Ukrainians like anyone else seeking international protection when the temporary protection directive ends and that the Government needs to prepare for that ending.
He said that at this stage the "emergency" of Russia's invasion of Ukraine is over, in terms of mass movement of people, and people have to go through the proper processes now.
Mr Doherty said that things have settled now and the current system is no longer required and he hoped all of Ukraine will be safe and peaceful by the time the temporary protection directive ends, but that no one will be returned unsafely to any place where there is war or persecution.
"The Government should allow for partial designation of states, in Ukraine or elsewhere, where there are states that are partially safe.
"Or it may be a case where a state is safe for men but not for women and vice versa."
Mr Doherty added that it was about resourcing the IPAS system and speeding it up to make decisions faster, so that people can return to the countries they came from if they are not granted protection.
Earlier, Sinn Féin's Spokesperson on Social Protection Donnchadh Ó Laoghaire said the plan will involve greater consultation with communities earmarked as a location for State accommodation centres.
Speaking on RTÉ's Morning Ireland, Mr Ó Laoghaire said: "There are communities out there that are clearly struggling that do not have enough in terms of services that are deprived.
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"I think that process needs to be used to identify if a place is completely unsuitable, then there shouldn't be anything located there."
However, he added: "There are people out there that under no circumstances do they want to see anybody different in their community, they are interested in destroying property.
"They are interested in violence. And they are, I suppose, they are racist in many respects, but I think it doesn't help the situation in communities where there are people who have concerns, who have reservations, they have nowhere fruitful to direct their views.
"They have nowhere to make a submission."
Sinn Féin is also proposing to allow for the partial designation of countries as safe in order to add geographic areas to the safe list.
It is calling for greater resourcing of the international protection system by tripling staff numbers at the International Protection Office and at the International Protection Appeals Tribunal.
The party also says it would end what it calls a "two tier" system of differing benefits for international protection applicants and people from Ukraine.
If temporary protection for Ukrainians is not extended in March next year, the party said people should either apply for work permits, international protection or return home if it is safe to do so.
Ireland currently has a list of safe countries where asylum seekers who arrive from these nations have their international protection applications dealt with within three months.

Mr Ó Laoghaire said: "We believe the system can also be improved by amending the international protection to ensure that countries can be designated as partially safe.
"There are many large countries where the political situation is different in different parts of the country or for different categories within that state.
"We think that legislation can be amended. Obviously, anyone travelling from any country can make an application for international protection.
"The safe countries policy and principle exists to allow for expedited procedures.
"Are there countries where parts of the country may be safe and they may be able to apply for international protection and that could be part of the faster process."