The number of voters who consider immigration their top priority has increased by 15%, according to the latest Sunday Independent/Ireland Thinks poll.
Some 41% of people think immigration is the biggest issue in the country currently, compared to 26% in April.
Housing remains the biggest issue, however, with 54% calling it their top priority, although this is a decrease of 5%.
The poll also suggests half the public want checkpoints on the border to limit the number of asylum seekers travelling here from the UK.
Some 37% of people said there shouldn’t be checkpoints, while 13% were unsure.
There's also strong support (82%) for a 'Rwanda Type' policy to deter migrants coming to Ireland.
This result follows a week which saw a political and diplomatic row develop between the UK and Ireland over Britain's immigration policy, and its potential effect on immigration here.
The public is divided on the proposed EU Migration and Asylum Pact, with 36% in favour, 33% against and 31% unsure.
Polls beyond immigration
Sinn Féin remains the most popular party in Ireland with 29%, a three-point increase in support.
Sinn Féin has come out strongly against the EU Immigration and Asylum Pact which the Government has agreed to support.
Fine Gael fell by two points to 19%, while Fianna Fáil was unchanged at 16%.
Some 6% of voters chose the Social Democrats as their first preference, while 4% supported the Green Party.
Support for Aontú fell by one point to 3%, while Labour remains unchanged at 3%.
Support for Sinn Féin government
A Sinn Féin led government excluding Fine Gael and Fianna Fáil is voters’ most preferred choice at 30%, followed by Fine Gael-Fianna Fail-Independents at 23%, a Fine Gael-Fianna Fáil-Green Party government at 19% and Sinn Fein-Fianna Fail coalition at 11%.
Independent politicians saw a two-point increase to 19% of first preference votes.
Fianna Fáil leader Micheál Martin saw the highest approval rating among leaders at 4.6/10.
Taoiseach Simon Harris was rated 4.3, while Sinn Féin leader Mary Lou McDonald had an approval rating of 4/10.
Support for Justice Minister Helen McEntee dropped further, with a 3.3/10 rating.
