The Millward Brown poll for Ireland South shows Fianna Fáil's Brian Crowley is safe on 32%, while Sinn Fein's Liadh Ni Riada could also take a seat with 16% but, Fine Gael's three candidates have over a third of the vote between them.
In the Midlands North-West, the poll shows that Fianna Fáil could lose out to two independents.
Sinn Fein's Matt Carthy is on 19%, followed by independent Luke Ming Flanagan on 15%. Fine Gael's Mairead McGuinness has 13%, while the sitting independent Marian Harkin follows on 12%.
Fianna Fáil's Pat 'the Cope' Gallagher is on 10%, with his running mate Thomas Byrne on 9%.
500 voters were polled in each of the constituencies on Tuesday and Wednesday of last week and a similar poll for Dublin will be published tomorrow.
