The IFAK Ukraine international research agency in Kiev said 53 percent of respondents did not believe the country was up to meeting conditions for accession.
The agency didn't indicate how many people it polled March 12-24, but said they were adults living in cities of more than 50,000 people.
In other EU-related matters, 13 percent of respondents said they didn't think Ukraine should join the union at all while 16 percent chose not to answer, the report said.
Among those who favored membership, 21 percent said Ukraine should become a member in the next one or two years, 25 percent in three to five years, and 16 percent said in five to 10 years.
The survey's margin of error is 2.5 percent, the report said.