The latest Red C poll for the Business Post suggests that Sinn Féin has held its position as the most popular party among those surveyed.
The three Government parties have all seen support dip by one percentage point.
Red C surveyed 1,004 adults over five days up to last Wednesday.
The survey indicates Sinn Féin is unchanged at 36% compared to the last poll in May, as the party continues to press the Government on the rising cost of living.
Fine Gael is 19% down one percentage point, Fianna Fáil is at 14% down one, and the Green Party is at 4% down one.
Independents are up one to 12%, while Labour is unchanged on 3% and the Social Democrats is unchanged on 4%.
People Before Profit-Solidarity is up one to 4%, while Aontú is up one to 3%.
The margin of error is plus or minus 3%.