In an interview with the Svenska Dagbladet newspaper, Söder suggested that if the Sweden Democrats dropped their demand to have ministers in a future government led by Moderate Party leader Ulf Kristersson, it might open the way for the Centre Party to also join as a support party.
"Maybe we should take a step back and say that we could continue as before – outside the government as a support party and then maybe the Centre Party could do the same?" he told the newspaper.
"We are complete opposites when it comes to the migration issue. But maybe we could accept that we freeze the migration issue as it is now for four years. That is much better than the alternative, which is that the left-wing parties tear up what we have done."
Söder's intervention came only a day after Richard Jomshof, another member of the 'gang of four', made a similar comment when asked by a journalist for the Kvartal magazine if the party could drop its demand for ministerial positions.
"There probably is...if the alternative is total chaos on the left. But we won't do it for free," he said before adding quickly, "I'm just thinking out loud, you can't quote me."
After Jomshof's statement, the Sweden Democrats' party leader Jimmie Åkesson pushed back against the idea that the party was ready to give up its demands for ministerial positions.
"The fact that Richard Jomshof holds a speculative background conversation, which a journalist from Kvartal then misuses, in no way means that we have changed our position in any way whatsoever," he wrote on X. "As everyone knows, it's me who has the final say on this issue."
"'After the 2026 election, the Sweden Democrats are either going to be in a government or in opposition'. I've said that for several years and it still applies.
"To press anything but the red button for a prime minister who is trying to set up a government without Sweden Democrat ministers is not on the cards, and if for some unfathomable reason that should change, it would not be communicated in a background conversation between Kvartal and Richard Jomshof."
Centre Party leader Elisabeth Thand Ringqvist has also said in recent days that her party would not support a government dependent on the votes of Sweden Democrat MPs, even if the far-right party did not have ministerial positions.