Process and apparatus for removing fine impurities from a fibrous suspension. The process and apparatus each provide for conveying the fibrous suspension to at least one sorting device, separating the fibrous suspension using the at least one sorting device into an accepts portion and a rejects portion, finishing at least some of the accepts portion leaving the at least one sorting device using a finishing device, separating at least some portion of the rejects portion leaving the at least one sorting device using at least one last sorting device into an accepts portion and an rejects portion, separating at least some portion of the accepts portion leaving the at least one last sorting device into an accepts portion and a rejects portion using a flotation device, and finishing at least some portion of the accepts portion leaving the flotation device using the finishing device.