The invention relates to a method and to an arrangement for refining copper concentrate. The arrangement includes a suspension smelting furnace comprising a reaction shaft, and a settler. The reaction shaft is provided with a concentrate burner for feeding copper concentrate such as copper sulfide concentrate and/or copper matte and additionally at least reaction gas into the reaction shaft to obtain a blister layer containing blister and a first slag layer containing slag on top of the blister layer in the settler, and a slag cleaning furnace. The arrangement includes a feeder configured for feeding blister from the blister layer in the settler and for feeding slag from the first slag layer in the settler into the slag cleaning furnace.