Of the respondents in the country’s five largest cities, 67% said they would go to vote in a plebiscite, and of those 61% would vote in favor of the peace treaty, parts of which have already been made public.
That is 4% more than two months ago.
However, although people want peace, they are less happy with the concessions they feel are being made to FARC rebels.
Only 25% agree with allowing electoral participation for members of the FARC secretariat.
And just 11% believe that seats in Congress should be assigned without popular election to FARC leaders with convictions.
The Santos administration and the FARC have been negotiating peace since 2012 and are widely believed to come to a final agreement this year, ending more than half a century of armed conflict.