According to the survey commissioned by DELFI and published on Wednesday, 48.4% of respondents would not support Brexit, nearly 20% would be in support and nearly 32% did not answer the question.
The majority of those polled believe the termination of the UK's membership would cause damage to the EU: 17.3% of respondents said the damage would be huge and could destroy the entire EU, over 44% said Brexit would undermine the union.
Another 17% of those polled said the damage would be minor, as, in their opinion, Great Britain never considered itself part of the EU. Some 21.6% did not answer the question.
The survey of 1,007 respondents between ages of 18 and 75 was conducted across Lithuania on April 19-25.
The United Kingdom will hold the referendum on the country's membership in the EU on June 23.