But many votes remain up for grabs six months before the election.
Following the resignation of Social Democrat Foreign Minister Laila Freivalds, the slide for the Alliance, evident in February polls, appears to have ceased.
The four-party opposition Alliance received 50.6 percent support in the latest poll, conducted from the 13th to the 29th of March.
46.2 percent of those polled supported the ruling Social Democrat, Green and Left Party block.
Poll results were most encouraging for the Christian Democrats, who risk not reaching the four percent vote threshold required to remain in parliament.
The party received its highest level of support since August 2003 at 6.4 percent, which is well above its mark of 4.4 in January – and it is no longer the worst-supported party in the Swedish Parliament.
That honour falls to the Green Party, with 5.1 percent compared to 4.6 percent in February.
The Centre Party received 5.3 percent in the March poll, the party’s lowest level of support in a year.
The Moderate Party enjoyed 29.2 percent support, compared to 28.4 percent in February.
Support for the Liberals was down nearly one percent from February to 9.7 percent, while the Social Democrats slumped by 1.4 percent to 34.9 percent in the March poll.
Support for the Left Party remained steady, at 6.2 percent, with many voters still unsure about the party’s development.
Newer parties such as the Sweden Democrats, the June List, and the Feminist Initiative continue to have low support.
The far right Sweden Democrats received around one percent of support in the poll, while the Eurosceptic June List and the Feminist Initiative each had half a percent support.
Although it is less than six months until the election, more than 20 percent of potential voters say they are still undecided.
Support also varied for parties during the March polling period.
“During the three weeks that TEMO conducted interviews for the poll, figures have fluctuated up and down,” TEMO poll analyst Nicklas Källebring told DN.