The poll, taken by research group Sifo and published in the Swedish daily ”Svenska Dagbladet”, shows support for the Social Democrats down 3.4 percentage points to 40.7 percent.
The Social Democrats’ allies saw support rise, however.
The Greens rose to 6.9 percent, while the Left Party was up to 5.6 percent, leaving support for the opposition as a whole at 53.2 percent.
The governing parties together were supported by 43.1 percent of those surveyed.
Sifo interviewed 1,900 people between May 7th and 15th.
The four-party center-right alliance won last September’s elections. The next general election will be held in 2010.