Abstract: A process for manufacturing a flat steel product having a prealloyed corrosion-resistant coating, comprises providing a coated flat steel product comprising a steel substrate having, at least on one side of the steel substrate, and an aluminum-based corrosion-resistant coating. The coated flat steel product is heat-treated, comprising the following substeps: Heating the coated flat steel product in a furnace at a furnace temperature T of between 950° C. and 1150° C. with a furnace dwell time tv of between 40 seconds and 150 seconds, the furnace temperature being chosen such that the heating rate of the coated flat steel product in the temperature range from 500° C. to 700° C. is more than 10 K/s. The coated flat steel product is held at a temperature above Ac3 for a hold time of between 20 seconds and 60 seconds.