Some 28% of respondents to the survey in the region said they intended to vote for Labour on June 8 - compared to the 25% of respondents who backed the party in the 2015 General Election.
Some 39% said they planned to vote Conservative next month, compared to 36% who said they voted Tory in 2015.
UKIP appear to be the big losers, with 8% saying they would back the party this time and 13% saying they did so in 2015.
The Lib Dems could also see a slight increase in their vote shares in the region compared to 2015, the survey suggests.
Some 13% said they would back Tim Farron’s party next month while only 11% said they voted Lib Dem in 2015.
The survey also reveals more than half of voters in the South East (57%) say Brexit WILL be a factor in how they vote on June 8.
A majority of people believe Theresa May would be a better Brexit negotiator than Jeremy Corbyn, with 58% of people in the region saying they think she’ll do the best job compared to 26% for the Labour leader.
Confidence in Theresa May increases with age, with 76% of those aged 65 and over thinking she would do the best job as Brexit negotiator, compared to 44% of 18 to 24 year-olds.
A quarter of people, 25%, are considering voting tactically in the general election, with a further fifth (18%) saying they don’t know. Men were more likely to have ruled out a tactical vote - 64% compared to 49% of women.
The over 65s were the least likely to be considering a tactical vote. Some 76% in that age group in the South East said they weren’t, compared to 42% of 18 to 24-year-olds who have ruled out a tactical vote.
A total of 9,741 people completed the survey nationwide. This is a survey of on-line readers.
This is a survey of on-line readers who chose to respond to a series of questions produced in partnership with Google Surveys from on-line newspapers and publisher sites. It shows the change in voting intentions of that group of users from 2015 but does not necessarily reflect the voting intentions of those not choosing to participate in on-line surveys and hard-to-reach social groups.