A new survey suggests that 55% of people in Northern Ireland would prefer to remain in the UK.
The Northern Ireland Life and Times Survey also indicated that just 22% would vote for a united Ireland.
A further 12% wouldn't vote and 10% didn't know.
Around twice as many pensioners (67%) want to stay in the UK compared to people aged 18-24 (33%), the poll suggested.
Support for a united Ireland was highest in the youngest age bracket of 18-24 (29%), and lowest in the 65+ category (17%).
Just 2% of Protestants would vote for a united Ireland, compared to just under half (49%) of Catholics.
A quarter of Catholics (25%) want to stay in the UK, compared to 85% of Protestants.
The survey also found that a third of those questioned (33%) believed that Brexit made a united Ireland more likely, while 9% thought it made it less likely.
However, 43% thought it made no difference.
Some 32% of people polled identified as unionist and 21% as nationalists, while 45% said they were neither.
Last week, a poll for the BBC suggested that 45% would vote for Northern Ireland to stay in the UK and 42% for a united Ireland.