A conveyor for a sheet glass tempering furnace, comprising a roller conveyor and an inclined airborne conveyor, as well as support and transport rollers at a lower edge of the airborne conveyor. The roller conveyor includes a horizontal level conveyor and an adapter conveyor between the horizontal level conveyor and the airborne conveyor. The adapter conveyor features a horizontal level upstream end and an inclined downstream end, the inclination angle of which matches substantially that of the airborne conveyor. The adapter conveyor has its rollers increase in inclination step by step when proceeding from the up-stream end towards the downstream end.