The ANUPoll found that just three out of every 10 people believe the country needs more people - a 15 per cent decline in support for population growth since a similar question was asked nine years ago.
Mr Daley said the results are consistent with other recent studies which showed growing concern about migration, as Melbourne and Sydney struggle to keep up with population growth.
The survey asked 2000 adults were asked late last year whether they thought the country needed more people.
Lead researcher Nicholas Biddle said the main reasons cited by those who don't support population growth included concerns about traffic, congestion, housing affordability and employment.
The 15 per cent drop in support for a big Australia was largely attributable to falling levels among men from 53.4 per cent in 2010 dropping to 32.8 per cent in 2018.
Just over 38 per cent of women thought Australia needed more people in 2010, but in 2018 that figure had dropped to 28.2 per cent.
Younger people especially those aged 25-34 showed the greatest support for population growth while people aged 45-54 showed the lowest.
